volterra type integral equations



Collocation Methods for Volterra Integral and Related Functional Differential Equations Collocation Methods for Volterra Integral and Related Functional Differential Equations Новинка

Collocation Methods for Volterra Integral and Related Functional Differential Equations

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.
Robert Adhémar Exercices Et Lecons D.analyse: Quadratures, Equations Differentielles, Equations Integrales De M. Fredholm Et De M. Volterra, Equations Aux Derivees Partielles Du Second Ordre (French Edition) Robert Adhémar Exercices Et Lecons D.analyse: Quadratures, Equations Differentielles, Equations Integrales De M. Fredholm Et De M. Volterra, Equations Aux Derivees Partielles Du Second Ordre (French Edition) Новинка

Robert Adhémar Exercices Et Lecons D.analyse: Quadratures, Equations Differentielles, Equations Integrales De M. Fredholm Et De M. Volterra, Equations Aux Derivees Partielles Du Second Ordre (French Edition)

Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
Smalto Часы Smalto ST4L002L0061. Коллекция Volterra Smalto Часы Smalto ST4L002L0061. Коллекция Volterra Новинка

Smalto Часы Smalto ST4L002L0061. Коллекция Volterra

Корпус часов украшен кристаллами Swarovski. Кожаный ремешок.
Smalto Часы Smalto ST4L002L0041. Коллекция Volterra Smalto Часы Smalto ST4L002L0041. Коллекция Volterra Новинка

Smalto Часы Smalto ST4L002L0041. Коллекция Volterra

Корпус часов украшен кристаллами Swarovski. Кожаный ремешок.
Smalto Часы Smalto ST1G013CBBE1. Коллекция Volterra Smalto Часы Smalto ST1G013CBBE1. Коллекция Volterra Новинка

Smalto Часы Smalto ST1G013CBBE1. Коллекция Volterra

Секундомер. Индикация числа. Кожаный ремешок. Ширина корпуса 44 мм.
Smalto Часы Smalto ST4L002L0081. Коллекция Volterra Smalto Часы Smalto ST4L002L0081. Коллекция Volterra Новинка

Smalto Часы Smalto ST4L002L0081. Коллекция Volterra

Корпус часов украшен кристаллами Swarovski. Кожаный ремешок.
Smalto Часы Smalto ST4G001M0011. Коллекция Volterra Smalto Часы Smalto ST4G001M0011. Коллекция Volterra Новинка

Smalto Часы Smalto ST4G001M0011. Коллекция Volterra

Кварцевый хронограф с секундомером. Индикация числа.
Smalto Часы Smalto ST4L002L0071. Коллекция Volterra Smalto Часы Smalto ST4L002L0071. Коллекция Volterra Новинка

Smalto Часы Smalto ST4L002L0071. Коллекция Volterra

Корпус часов украшен кристаллами Swarovski. Кожаный ремешок.
Smalto Часы Smalto ST4G001M0081. Коллекция Volterra Smalto Часы Smalto ST4G001M0081. Коллекция Volterra Новинка

Smalto Часы Smalto ST4G001M0081. Коллекция Volterra

Кварцевый хронограф с секундомером. Индикация числа.
Smalto Часы Smalto ST4L002L0031. Коллекция Volterra Smalto Часы Smalto ST4L002L0031. Коллекция Volterra Новинка

Smalto Часы Smalto ST4L002L0031. Коллекция Volterra

Корпус часов украшен кристаллами Swarovski. Кожаный ремешок.
Smalto Часы Smalto ST4G001M0041. Коллекция Volterra Smalto Часы Smalto ST4G001M0041. Коллекция Volterra Новинка

Smalto Часы Smalto ST4G001M0041. Коллекция Volterra

Кварцевый хронограф с секундомером. Индикация числа.
Ulrich Rohde L. Introduction to Integral Calculus. Systematic Studies with Engineering Applications for Beginners Ulrich Rohde L. Introduction to Integral Calculus. Systematic Studies with Engineering Applications for Beginners Новинка

Ulrich Rohde L. Introduction to Integral Calculus. Systematic Studies with Engineering Applications for Beginners

9858.39 руб. или Купить в рассрочку!
An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Bocher Maxime An introduction to the study of integral equations Bocher Maxime An introduction to the study of integral equations Новинка

Bocher Maxime An introduction to the study of integral equations

Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
Balkew Teshome The Sir Model When S(t) Is a Multi-Exponential Function Balkew Teshome The Sir Model When S(t) Is a Multi-Exponential Function Новинка

Balkew Teshome The Sir Model When S(t) Is a Multi-Exponential Function

The SIR model can be expressed mathematically either as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this book, it is shown that if S(t) is approximated by finite sum of exponential functions, or a logistic function which is an infinite sum of exponential functions, then we can have closed form solution. Also we will formulate a method to determine R0 the basic reproductive rate of an infection. The method we used here is an alternative and better way of studying the SIR model from the ususal way numerical method.
Qiaolin He Numerical Study of Solutions to Prandtl Equations and N-S Equations Qiaolin He Numerical Study of Solutions to Prandtl Equations and N-S Equations Новинка

Qiaolin He Numerical Study of Solutions to Prandtl Equations and N-S Equations

The IGR method enables us to study the singular structures of the blow up solutions of Prandtl equations. The numerical solutionsto the incompressible Navier-Stokes equations with Navier boundary conditions are discussed. An unconditionally stable time discretization which is implicit in viscosity and explicit in both pressure and convection terms and finite difference discretization with local pressure boundarycondition are employed. A two levelpreconditioned conjugate gradient method is introdeced to solve the elliptic type system.
William Elwood Byerly Elements of the integral calculus : with a key to the solution of differential equations William Elwood Byerly Elements of the integral calculus : with a key to the solution of differential equations Новинка

William Elwood Byerly Elements of the integral calculus : with a key to the solution of differential equations

Эта книга — репринт оригинального издания (издательство "Boston : Ginn, Heath & Company", 1881 год), созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
William Elwood Byerly Elements of the integral calculus, with a key to the solution of differential equations William Elwood Byerly Elements of the integral calculus, with a key to the solution of differential equations Новинка

William Elwood Byerly Elements of the integral calculus, with a key to the solution of differential equations

Эта книга — репринт оригинального издания (издательство "Boston, Ginn, Heath, & co.", 1882 год), созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
James Godfrey Methods for Data Science. I - Introductory Applied Mathematics James Godfrey Methods for Data Science. I - Introductory Applied Mathematics Новинка

James Godfrey Methods for Data Science. I - Introductory Applied Mathematics

This reference book is intended for data scientists and presents introductory applied mathematics appropriate for understanding methodologies used in a variety of disciplines. The presentation includes vector and matrix algebra, differential and integral calculus, complex variables, vector calculus, transforms, and ordinary and partial differential equations.
William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and A Short William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and A Short Новинка

William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and A Short

Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations (German Edition) William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations (German Edition) Новинка

William Elwood Byerly Elements of the Integral Calculus: With a Key to the Solution of Differential Equations (German Edition)

Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
Michael Greenberg D. Solutions Manual to accompany Ordinary Differential Equations Michael Greenberg D. Solutions Manual to accompany Ordinary Differential Equations Новинка

Michael Greenberg D. Solutions Manual to accompany Ordinary Differential Equations

2487.99 руб. или Купить в рассрочку!
Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order.
A. A. Frempong Intermediate Mathematics (US). (Algebra, Geometry . Trigonometry) A. A. Frempong Intermediate Mathematics (US). (Algebra, Geometry . Trigonometry) Новинка

A. A. Frempong Intermediate Mathematics (US). (Algebra, Geometry . Trigonometry)

Intermediate Mathematics covers the following topics: Review of Operations; Exponents, Radicals. and operations on radical and Fractional Exponents; Reduction of Indices; Factoring Polynomials; Solving quadratic equations and applications; Graphs, Slopes, Intercepts, and Equations of Straight Lines; Graphs of Parabolas; Linear Inequalities; Compound Inequalities; Inequality Word Problems; Reduction, multiplication, division, and addition of algebraic fractions; Solving Fractional or Rational Equations; Radical Equations; Complex Numbers; Absolute value equations; Absolute Value Inequalities; Logarithms; Logarithmic equations and Exponential Equations; Variation and Variation Problems; Basic Areas and Perimeters of triangles, rectangles, trapezoids, circles, and composite figures; Congruency Theorems; Similar Triangles; Right triangle trigonometry; Functional value of any angle; Laws of sines and cosines. Trigonometric Identities; Trigonometric equations.
A. A. Frempong Final Exam Review. Intermediate Mathematics (US): (Algebra, Geometry . Trigonometry) A. A. Frempong Final Exam Review. Intermediate Mathematics (US): (Algebra, Geometry . Trigonometry) Новинка

A. A. Frempong Final Exam Review. Intermediate Mathematics (US): (Algebra, Geometry . Trigonometry)

Final Exam Review: Intermediate Mathematics covers the following topics: A note to the student in preparing for exams; Review of Operations; Exponents, Radicals. and operations on radical and Fractional Exponents; Reduction of Indices; Factoring Polynomials; Solving quadratic equations and applications; Graphs, Slopes, Intercepts, and Equations of Straight Lines; Graphs of Parabolas; Linear Inequalities; Compound Inequalities; Inequality Word Problems; Reduction, multiplication, division, and addition of algebraic fractions; Solving Fractional or Rational Equations; Radical Equations; Complex Numbers; Absolute value equations; Absolute Value Inequalities; Logarithms; Logarithmic equations and Exponential Equations; Variation and Variation Problems; Basic Areas and Perimeters of triangles, rectangles, trapezoids, circles, and composite figures; Congruency Theorems; Similar Triangles; Right triangle trigonometry; Functional value of any angle; Laws of sines and cosines. Trigonometric Identities; Trigonometric equations.
A. A. Frempong Intermediate Algebra A. A. Frempong Intermediate Algebra Новинка

A. A. Frempong Intermediate Algebra

Intermediate Algebra is a very user-friendly mathematics book, and covers the following topics: real number operations; exponents ; radicals; fractional exponents; factoring polynomials; solving quadratic equations and applications; graphs, slopes, intercepts, and equations of straight lines; graphs of parabolas; linear inequalities; compound inequalities; inequality word problems; reduction, multiplication, division, and addition of algebraic fractions; solving fractional or rational equations; solving radical equations; variation and variation problems. complex numbers; square roots of negative numbers; addition, multiplication and division of complex numbers; absolute value equations; absolute value inequalities; logarithms; logarithmic equations and exponential equations; graphs of exponential and logarithmic functions; applications of exponential and logarithmic functions; one-to-one functions; composite functions, inverse functions and inverse relations.
A. A. Frempong Elementary Algebra A. A. Frempong Elementary Algebra Новинка

A. A. Frempong Elementary Algebra

Elementary Algebra covers the following: Signed Number and Real Number Operations; Order of Operations and Evaluation of Expressions; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; Solving First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations by factoring & applications; Graphs, Slopes, Intercepts and Equations of Straight Lines; Solving Systems of Linear Equations and Word Problems; Radicals, square roots, addition & multiplication of radicals; Pythagorean Theorem and Applications; Areas and Perimeters; Algebraic Fractions (reduction, multiplication, division & addition); Solving Linear inequalities. Extra topics include Quadratic Equations,, Functions, Relations,, Functional Notation, Sketching Parabola, Solving Fractional or Rational Equations, Solving Radical Equations, Basic Review for Geometry
A. A. Frempong Final Exam Review. Intermediate Algebra A. A. Frempong Final Exam Review. Intermediate Algebra Новинка

A. A. Frempong Final Exam Review. Intermediate Algebra

Final Exam Review: Intermediate Algebra is a very user-friendly mathematics book, and covers the following topics: a note to the student in preparing for the final exam; real number operations; exponents ; radicals; fractional exponents; factoring polynomials; solving quadratic equations and applications; graphs, slopes, intercepts, and equations of straight lines; graphs of parabolas; linear inequalities; compound inequalities; inequality word problems; reduction, multiplication, division, and addition of algebraic fractions; solving fractional or rational equations; solving radical equations; variation and variation problems. complex numbers; square roots of negative numbers; addition, multiplication and division of complex numbers; absolute value equations; absolute value inequalities; logarithms; logarithmic equations and exponential equations; graphs of exponential and logarithmic functions; applications of exponential and logarithmic functions; one-to-one functions; composite functions, inverse functions and inverse relations.
Tladi Maleafisha Stephen Joseph On the qualitative theory of the rotating Boussinesq equations Tladi Maleafisha Stephen Joseph On the qualitative theory of the rotating Boussinesq equations Новинка

Tladi Maleafisha Stephen Joseph On the qualitative theory of the rotating Boussinesq equations

An alternative title for this paper would perhaps be "Well-posedness of the problem of beta-plane ageostrophic flows for meteorology and oceanography." The author studies the rotating Boussinesq equations describing the motion of a viscous incompressible stratified fluid in a rotating system which is relevant, e.g., for Lagrangian coherent structures. These equations consist of the Navier-Stokes equations with buoyancy-term and Coriolis-term in beta-plane approximation, the divergence-constraint, and a diffusion-type equation for the density variation. They are considered in a plane layer with periodic boundary conditions in the horizontal directions and stress-free conditions at the bottom and the top of the layer. Additionally, the author considers this model with Reynolds stress, which adds hyper-diffusivity terms of order 6 to the equations. This manuscript focuses primarily on deriving the rotating Boussinesq equations for geophysical fluids, showing existence and uniqueness of solutions, and outlining how Lyapunov functions can be used to assess stability. The main emphasis of the paper is on Faedo-Galerkin approximations as well as LaSalle invariance principle.
Aliakbar Haghighi Montazer Difference and Differential Equations with Applications in Queueing Theory Aliakbar Haghighi Montazer Difference and Differential Equations with Applications in Queueing Theory Новинка

Aliakbar Haghighi Montazer Difference and Differential Equations with Applications in Queueing Theory

9186.66 руб. или Купить в рассрочку!
A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.
M. O. Korpusov, A. V. Ovchinnikov Blow-Up of Solutions of Model Nonlinear Equations of Mathematical Physics M. O. Korpusov, A. V. Ovchinnikov Blow-Up of Solutions of Model Nonlinear Equations of Mathematical Physics Новинка

M. O. Korpusov, A. V. Ovchinnikov Blow-Up of Solutions of Model Nonlinear Equations of Mathematical Physics

The present monography is dedicated to a fashionable trend in nonlinear analysis - the theories of blow-up of solutions for final time. In this book nonlinear Sobolev type equations are systematically studied. The book will be interesting both to experts in the field of nonlinear analysis and to students and post-graduate students of the corresponding specialties.
Stakgold Ivar Green's Functions and Boundary Value Problems Stakgold Ivar Green's Functions and Boundary Value Problems Новинка

Stakgold Ivar Green's Functions and Boundary Value Problems

11912.19 руб. или Купить в рассрочку!
Praise for the Second Edition «This book is an excellent introduction to the wide field of boundary value problems.»—Journal of Engineering Mathematics «No doubt this textbook will be useful for both students and research workers.»—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.
A. A. Frempong Final Exam Review. Elementary Algebra A. A. Frempong Final Exam Review. Elementary Algebra Новинка

A. A. Frempong Final Exam Review. Elementary Algebra

Final Exam Review: Elementary Algebra covers the following: Signed Number and Real Number Operations; Order of Operations and Evaluation of Expressions; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; Solving First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations by factoring & applications; Graphs, Slopes, Intercepts and Equations of Straight Lines; Solving Systems of Linear Equations and Word Problems; Radicals, square roots, addition & multiplication of radicals; Pythagorean Theorem and Applications; Areas and Perimeters; Algebraic Fractions (reduction, multiplication, division & addition); Solving Linear inequalities. Extra topics include Quadratic Equations,, Functions, Relations,, Functional Notation, Sketching Parabola, Solving Fractional or Rational Equations, Solving Radical Equations, Basic Review for Geometry
A. A. Frempong Elementary Mathematics . Intermediate Mathematics. (Arithmetic, Algebra, Geometry . Trigonometry) A. A. Frempong Elementary Mathematics . Intermediate Mathematics. (Arithmetic, Algebra, Geometry . Trigonometry) Новинка

A. A. Frempong Elementary Mathematics . Intermediate Mathematics. (Arithmetic, Algebra, Geometry . Trigonometry)

This book combines the Elementary Math and the Intermediate Math of the fifth editions into a single volume. The arithmetic topics include whole numbers, fractions, decimals, the percent symbol (%); ratio, proportion, areas, perimeters, scientific notation, and measurements. The elementary algebra and geometry topics include exponents; polynomials; linear equations; word problems; factoring; quadratic equations; graphs, slopes, intercepts, straight lines; systems of equations, radicals; Pythagorean theorem and applications; algebraic fractions; and inequalities. The intermediate math topics include exponents; radicals; polynomials; graphs, slopes, intercepts, parallel and perpendicular lines; graphs of parabolas; linear and compound inequalities; algebraic fractions; fractional and radical equations; complex numbers; absolute value equations and inequalities; logarithms; logarithmic and exponential equations; congruency theorems; similar triangles; trigonometry; equations and circles..
Michael Greenberg D. Ordinary Differential Equations Michael Greenberg D. Ordinary Differential Equations Новинка

Michael Greenberg D. Ordinary Differential Equations

9951.96 руб. или Купить в рассрочку!
Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory. Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes: First-Order Differential Equations Higher-Order Linear Equations Applications of Higher-Order Linear Equations Systems of Linear Differential Equations Laplace Transform Series Solutions Systems of Nonlinear Differential Equations In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers. Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upper-undergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work. An Instructors Manual is available upon request. Email [email protected] for information. There is also a Solutions Manual available. The ISBN is 9781118398999.
Melisew Tefera Belachew Preconditioning Dense Complex Linear Systems from a VIM Discretization Melisew Tefera Belachew Preconditioning Dense Complex Linear Systems from a VIM Discretization Новинка

Melisew Tefera Belachew Preconditioning Dense Complex Linear Systems from a VIM Discretization

Angular-resolved optical scatterometry is a new promising technology for metrology in lithography for the construction of VLSI chips such as DRAMs and CPUs. In order to measure the geometry dimensions and material properties of markers and interconnect lines, one needs to solve Maxwell's equations for an electromagnetic scattering problem. The well known RCWA discretization method is too slow for 3D applications whence one takes resort to either a finite element discretization method or a volume integral method (VIM). VIM systems of equations can be solved faster than FEM systems of equations. This book focuses on an iterative solution of linear systems emanating from VIM. Each different linear system depends in a non-linear manner on several geometry, material and incoming light-wave parameters. For a typical 2D-periodic application on resist, VIM is a factor of 20 faster than RCWA. The VIM discretization leads to a dense complex linear system for the electric field for a 2D-periodic grating (3D Maxwell's equations). The coefficient matrix A is almost full but matrix-vector multiplications can be performed. Therefore; systems should be solved with an iterative solution method.
A. A. Frempong Elementary Mathematics. (Arithmetic, Algebra . Geometry) A. A. Frempong Elementary Mathematics. (Arithmetic, Algebra . Geometry) Новинка

A. A. Frempong Elementary Mathematics. (Arithmetic, Algebra . Geometry)

Elementary Mathematics covers both arithmetic and algebra. The arithmetic topics include operations on whole numbers, fractions, decimals,percent calculations; Order of Operations, ratio, Proportion, Areas, Perimeters; Bar, Line and Circle Graphs; Scientific Notation; Measurements and conversions The algebra topics include: Signed Number and Real Number Operations; Order of Operations; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations & applications; Graphs, Slopes, Intercepts and Equations of Straight Lines; Solving Systems of Linear Equations and Word Problems; Radicals, square roots, addition & multiplication of radicals; Pythagorean Theorem and Applications; Areas and Perimeters; Algebraic Fractions, ;Solving Linear inequalities.Extra topics cover Quadratic Equations, Functions, Sketching Parabola, Solving Rational and Radical Equations, Review for Geometry
A. A. Frempong Final Exam Review. Elementary Mathematics A. A. Frempong Final Exam Review. Elementary Mathematics Новинка

A. A. Frempong Final Exam Review. Elementary Mathematics

Final Exam Review: Elementary Mathematics covers both arithmetic and algebra; and also covers a note to the student in preparing for exams;. The arithmetic topics include operations on whole numbers, fractions, decimals,percent calculations; Order of Operations, ratio, Proportion, Areas, Perimeters; Bar, Line and Circle Graphs; Scientific Notation; Measurements and conversions The algebra topics include: Signed Number and Real Number Operations; Order of Operations; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations & applications; Graphs, Slopes, Intercepts and Equations of Straight Lines; Solving Systems of Linear Equations and Word Problems; Radicals, square roots, addition & multiplication of radicals; Pythagorean Theorem and Applications; Areas and Perimeters; Algebraic Fractions, ;Solving Linear inequalities.Extra topics cover Quadratic Equations, Functions, Sketching Parabola, Solving Rational and Radical Equations, Review for Geometry
Steven Holzner Differential Equations For Dummies Steven Holzner Differential Equations For Dummies Новинка

Steven Holzner Differential Equations For Dummies

1507.24 руб. или Купить в рассрочку!
The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
Henri Baudrand The Wave Concept in Electromagnetism and Circuits. Theory and Applications Henri Baudrand The Wave Concept in Electromagnetism and Circuits. Theory and Applications Новинка

Henri Baudrand The Wave Concept in Electromagnetism and Circuits. Theory and Applications

8588.63 руб. или Купить в рассрочку!
The Wave Concept Iterative Procedure (WCIP) method has found an increasing number of users within electromagnetic theory and applications to planar circuits, antennas and diffraction problems. This book introduces in detail this new formulation of integral methods, based on the use of a wave concept with two bounded operators, and applications in a variety of domains in electromagnetics. This approach presents a number of benefits over other integral methods, including overcoming the problem of singularity, and reduced computing time. Through the presentation of mathematical equations to characterize studied structures and explanation of the curves obtained, via validated examples, the authors provide a thorough background to electromagnetism as well as a professional reference to students and researchers.
Terano Harold Jan R. Ordinary Differential Equations Terano Harold Jan R. Ordinary Differential Equations Новинка

Terano Harold Jan R. Ordinary Differential Equations

This book covers the basic discussions on ordinary differential equations as fundamentals for the study of differential equations. This consists of the lessons together with sample problems and exercises at the end of every topic to give way the student for him to solve it. It is important that the student gain not just how to solve problems but most importantly, student should gain the concepts and ideas behind a certain topic. The author wishes that with this material, students can learn fully the knowledge of ordinary differential equations.
Lennart Edsberg Introduction to Computation and Modeling for Differential Equations Lennart Edsberg Introduction to Computation and Modeling for Differential Equations Новинка

Lennart Edsberg Introduction to Computation and Modeling for Differential Equations

7464.83 руб. или Купить в рассрочку!
Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods. The author features a unique “Five-M” approach: Modeling, Mathematics, Methods, MATLAB®, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes: New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin’s method for BVPs, parabolic and elliptic PDEs, and finite volume methods Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics® Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.
Ian Beardsley The Equations of AI Ian Beardsley The Equations of AI Новинка

Ian Beardsley The Equations of AI

First the author discovered the AI equations showing structure in AI (Artificial Intelligence), now he presents his comprehensive AI Equation.
A. A. Frempong Final Exam Review. College Algebra A. A. Frempong Final Exam Review. College Algebra Новинка

A. A. Frempong Final Exam Review. College Algebra

Final Exam Review: College algebra covers the following topics: a note to the student in preparing for exams; Polynomial, Nonlinear, and Radical Equations; Sets, Relations, Functions; Absolute Value Equations and Inequalities; Linear Programming; Graphs of Functions; Asymptotes; Logarithms; Exponential and Logarithmic Equations; Graphs of Exponential and Logarithmic Functions; Matrix and Matrix Methods; Determinants; Complex Numbers and Operations; Polar Form of Complex Numbers; Roots of Complex Numbers; Graphing Polar Coordinates and Equations; Conic sections;; Remainder and Factor Theorems; Rational Roots; Partial Fractions; Sequences and Series; Binomial Theorem; Permutations and Combinations; and Mathematical Induction;
A. A. Frempong College Algebra A. A. Frempong College Algebra Новинка

A. A. Frempong College Algebra

College algebra covers the following topics: Polynomial, Nonlinear, and Radical Equations; Sets, Relations, Functions; Absolute Value Equations and Inequalities; Linear Programming; Graphs of Functions; Asymptotes; Logarithms; Exponential and Logarithmic Equations; Graphs of Exponential and Logarithmic Functions; Matrix and Matrix Methods; Determinants; Complex Numbers and Operations; Polar Form of Complex Numbers; Roots of Complex Numbers; Graphing Polar Coordinates and Equations; Conic sections;; Remainder and Factor Theorems; Rational Roots; Partial Fractions; Sequences and Series; Binomial Theorem; Permutations and Combinations; and Mathematical Induction;
Aubrey Wells An Introduction to Algebra - With Humour. Embracing G.C.S.E Aubrey Wells An Introduction to Algebra - With Humour. Embracing G.C.S.E Новинка

Aubrey Wells An Introduction to Algebra - With Humour. Embracing G.C.S.E

A chatty, informal & friendly script intending to make the subject matter enjoyable and a useful supplement to text books on Algebra.Areas covered include:* Arithmetic revision* Use of symbols - areas and volumes* Terminology* Reciprocals* Powers - and more powers* Alebraic multiplication & division* Binomial Products* Brackets - and more brackets* Factorisation* Simple equations & graphical representation* Transposition within equations* Simultaneous equations* Roots & radicals* Quadratic equations
Frederick Harold Bailey, Frederick S. Woods A Course in Mathematics. Volume 2. Integral Calculus, Functions of Several Variables, Space Geometry, Differential Equations Frederick Harold Bailey, Frederick S. Woods A Course in Mathematics. Volume 2. Integral Calculus, Functions of Several Variables, Space Geometry, Differential Equations Новинка

Frederick Harold Bailey, Frederick S. Woods A Course in Mathematics. Volume 2. Integral Calculus, Functions of Several Variables, Space Geometry, Differential Equations

Эта книга — репринт оригинального издания (издательство "Ginn & Company", 1909 год), созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.For students of engineering and applied science.
Snehashish Chakraverty Fuzzy Arbitrary Order System. Fuzzy Fractional Differential Equations and Applications Snehashish Chakraverty Fuzzy Arbitrary Order System. Fuzzy Fractional Differential Equations and Applications Новинка

Snehashish Chakraverty Fuzzy Arbitrary Order System. Fuzzy Fractional Differential Equations and Applications

7464.83 руб. или Купить в рассрочку!
Presents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems Complete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniquesneeded to model solve uncertainty. Fuzzy differential equations are solved via various analytical andnumerical methodologies, and this book presents their importance for problem solving, prototypeengineering design, and systems testing in uncertain environments. In recent years, modeling of differential equations for arbitrary and fractional order systems has been increasing in its applicability, and as such, the authors feature examples from a variety of disciplines to illustrate the practicality and importance of the methods within physics, applied mathematics, engineering, and chemistry, to name a few. The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of various methods, and simulated results. In addition, fuzzy ordinary, partial, linear, and nonlinear fractional differential equations are addressed to solve uncertainty in physical systems. In addition, this book features: Basic preliminaries of fuzzy set theory, an introduction of fuzzy arbitrary order differential equations, and various analytical and numerical procedures for solving associated problems Coverage on a variety of fuzzy fractional differential equations including structural, diffusion, and chemical problems as well as heat equations and biomathematical applications Discussions on how to model physical problems in terms of nonprobabilistic methods and provides systematic coverage of fuzzy fractional differential equations and its applications Uncertainties in systems and processes with a fuzzy concept Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications is an ideal resource for practitioners, researchers, and academicians in applied mathematics, physics, biology, engineering, computer science, and chemistry who need to model uncertain physical phenomena and problems. The book is appropriate for graduate-level courses on fractional differential equations for students majoring in applied mathematics, engineering, physics, and computer science.
Constantin Corduneanu Functional Differential Equations. Advances and Applications Constantin Corduneanu Functional Differential Equations. Advances and Applications Новинка

Constantin Corduneanu Functional Differential Equations. Advances and Applications

9335.46 руб. или Купить в рассрочку!
Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
E. T. Whittaker, G. N. Watson A Course of Modern Analysis E. T. Whittaker, G. N. Watson A Course of Modern Analysis Новинка

E. T. Whittaker, G. N. Watson A Course of Modern Analysis

A Course Of Modern Analysis - Second Edition - An Unabridged, Completely Revised Printing Of The First Edition, With Additions (Riemann Integration, Integral Equations, Riemann-Zeta Function) And Corrections, And Consistent With All Subsequent Editions, Save For The 23rd Chapter Dealing With Ellipsoidal Harmonics And Lame's Equation - This Edition Has Been Digitally Enlarged, To Include The Decimal System Of Paragraphing, With Appendix, List Of Quoted Authors, And Comprehensive General Index.
Robert Stark M. Solutions Manual to Accompany Fundamentals of Calculus Robert Stark M. Solutions Manual to Accompany Fundamentals of Calculus Новинка

Robert Stark M. Solutions Manual to Accompany Fundamentals of Calculus

2236.97 руб. или Купить в рассрочку!
A solutions manual to accompany Fundamentals of Calculus Fundamentals of Calculus illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions Integral Calculus The Derivative Integrations Techniques Using the Derivative Functions of Several Variables Exponents and Logarithms Series and Summations Differentiation Techniques Applications to Probability
A. Kim V. Systems with Delays. Analysis, Control, and Computations A. Kim V. Systems with Delays. Analysis, Control, and Computations Новинка

A. Kim V. Systems with Delays. Analysis, Control, and Computations

14564.03 руб. или Купить в рассрочку!
The main aim of the book is to present new constructive methods of delay differential equation (DDE) theory and to give readers practical tools for analysis, control design and simulating of linear systems with delays. Referred to as “systems with delays” in this volume, this class of differential equations is also called delay differential equations (DDE), time-delay systems, hereditary systems, and functional differential equations. Delay differential equations are widely used for describing and modeling various processes and systems in different applied problems At present there are effective control and numerical methods and corresponding software for analysis and simulating different classes of ordinary differential equations (ODE) and partial differential equations (PDE). There are many applications for these types of equations, because of this progress, but there are not as many methodologies in systems with delays that are easily applicable for the engineer or applied mathematician. there are no methods of finding solutions in explicit forms, and there is an absence of generally available general-purpose software packages for simulating such systems. Systems with Delays fills this void and provides easily applicable methods for engineers, mathematicians, and scientists to work with delay differential equations in their operations and research.
Paul Huray G. Maxwell's Equations Paul Huray G. Maxwell's Equations Новинка

Paul Huray G. Maxwell's Equations

10555.1 руб. или Купить в рассрочку!
An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.
Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions Новинка

Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions

The book contains 80 different types of algebra equations together with explanations, answers and solutions. It helps a learner to understand the logic behind algebra equations and to build their self confidence. It is also a basic refresher for parents who are helping their children with math homework.
Daniel Arrigo J. Symmetry Analysis of Differential Equations. An Introduction Daniel Arrigo J. Symmetry Analysis of Differential Equations. An Introduction Новинка

Daniel Arrigo J. Symmetry Analysis of Differential Equations. An Introduction

6871.04 руб. или Купить в рассрочку!
A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.
Heinz-Otto Kreiss Introduction to Numerical Methods for Time Dependent Differential Equations Heinz-Otto Kreiss Introduction to Numerical Methods for Time Dependent Differential Equations Новинка

Heinz-Otto Kreiss Introduction to Numerical Methods for Time Dependent Differential Equations

7692.28 руб. или Купить в рассрочку!
Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines.

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Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
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