# Search Results for "existence-theorems-for-ordinary-differential-equations-dover-books-on-mathematics"

## Existence Theorems for Ordinary Differential Equations

**Author**: Francis J. Murray,Kenneth S. Miller**Publisher:**Courier Corporation**ISBN:**0486154955**Category:**Mathematics**Page:**176**View:**6007

This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.

## Lectures on Ordinary Differential Equations

**Author**: Witold Hurewicz**Publisher:**Courier Corporation**ISBN:**048679721X**Category:**Mathematics**Page:**144**View:**9965

Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

## Ordinary Differential Equations

**Author**: Edward L. Ince**Publisher:**Courier Corporation**ISBN:**0486158217**Category:**Mathematics**Page:**576**View:**9623

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.

## Ordinary Differential Equations

*An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences*

**Author**: Morris Tenenbaum,Harry Pollard**Publisher:**Courier Corporation**ISBN:**0486649407**Category:**Mathematics**Page:**808**View:**2709

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

## Ordinary Differential Equations in the Complex Domain

**Author**: Einar Hille**Publisher:**Courier Corporation**ISBN:**9780486696201**Category:**Mathematics**Page:**484**View:**1555

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

## The Qualitative Theory of Ordinary Differential Equations

*An Introduction*

**Author**: Fred Brauer,John A. Nohel**Publisher:**Courier Corporation**ISBN:**0486151514**Category:**Mathematics**Page:**320**View:**9397

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.

## An Introduction to Ordinary Differential Equations

**Author**: Earl A. Coddington**Publisher:**Courier Corporation**ISBN:**0486131831**Category:**Mathematics**Page:**320**View:**5948

A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

## Asymptotic Expansions for Ordinary Differential Equations

**Author**: Wolfgang Wasow**Publisher:**Courier Dover Publications**ISBN:**0486824586**Category:**Mathematics**Page:**384**View:**7544

This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

## Introduction to Nonlinear Differential and Integral Equations

**Author**: Harold Thayer Davis**Publisher:**Courier Corporation**ISBN:**9780486609713**Category:**Mathematics**Page:**566**View:**454

Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

## A Second Course in Elementary Differential Equations

**Author**: Paul Waltman**Publisher:**Courier Corporation**ISBN:**0486434788**Category:**Mathematics**Page:**259**View:**2157

Focusing on applicable rather than applied mathematics, this text begins with an examination of linear systems of differential equations and 2-dimensional linear systems and then explores the use of polar coordinate techniques, Liapunov stability and elementary ideas from dynamic systems. Features an in-depth treatment of existence and uniqueness theorems, more. 1986 edition. Includes 39 figures.

## Lectures on Differential and Integral Equations

**Author**: K?saku Yoshida**Publisher:**Courier Corporation**ISBN:**9780486666792**Category:**Mathematics**Page:**220**View:**6151

Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

## Ordinary Differential Equations and Stability Theory

*An Introduction*

**Author**: David A. Sánchez**Publisher:**Courier Corporation**ISBN:**0486638286**Category:**Mathematics**Page:**164**View:**5292

Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

## Differential Equations

*A Concise Course*

**Author**: H. S. Bear**Publisher:**Courier Corporation**ISBN:**0486143643**Category:**Mathematics**Page:**224**View:**2578

First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.

## Computer-Lösung gewöhnlicher Differentialgleichungen

*Das Anfangswertproblem*

**Author**: Lawrence F. Shampine,Marilyn K. Gordon**Publisher:**Springer-Verlag**ISBN:**3322938018**Category:**Mathematics**Page:**259**View:**536

## Nonlinear Differential Equations

**Author**: Raimond A. Struble**Publisher:**Courier Dover Publications**ISBN:**0486817547**Category:**Mathematics**Page:**288**View:**8729

Detailed treatment covers existence and uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems, stability of nonlinear systems, and two-dimensional systems. 1962 edition.

## Modern Elementary Differential Equations

**Author**: Richard Bellman,Kenneth L. Cooke**Publisher:**Courier Corporation**ISBN:**9780486686431**Category:**Mathematics**Page:**228**View:**3482

Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.

## Differential Equations

**Author**: F.G. Tricomi**Publisher:**Courier Corporation**ISBN:**0486299295**Category:**Mathematics**Page:**288**View:**6143

Practical, concise text covers the existence and uniqueness theorem, characteristics of first-order equations, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. 1961 edition.

## Basic Theory of Ordinary Differential Equations

**Author**: Po-Fang Hsieh,Yasutaka Sibuya**Publisher:**Springer Science & Business Media**ISBN:**9780387986999**Category:**Mathematics**Page:**468**View:**8753

The authors provide readers with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics gives readers methods and results that are applicable in a variety of different fields. Each chapter begins with a brief discussion of its contents and history and ends with a number of problems and exercises.

## Linear Integral Equations

**Author**: William Vernon Lovitt**Publisher:**Courier Corporation**ISBN:**0486174646**Category:**Mathematics**Page:**272**View:**9752

Not only general theory of linear equations but also differential equations, calculus of variations, and special areas in mathematical physics. Discusses Fredholm’s equation, Hilbert-Schmidt theory, and auxiliary theorems on harmonic functions. 1924 edition.

## Introduction to Linear Algebra and Differential Equations

**Author**: John W. Dettman**Publisher:**Courier Corporation**ISBN:**9780486651910**Category:**Mathematics**Page:**404**View:**6765

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.