# 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:**9010

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.

## Ordinary Differential Equations

**Author**: Edward L. Ince**Publisher:**Courier Corporation**ISBN:**0486158217**Category:**Mathematics**Page:**576**View:**9733

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.

## Lectures on Ordinary Differential Equations

**Author**: Witold Hurewicz**Publisher:**Courier Corporation**ISBN:**048679721X**Category:**Mathematics**Page:**144**View:**5150

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

*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:**6621

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.

## 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:**2286

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:**9101

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.

## Ordinary Differential Equations in the Complex Domain

**Author**: Einar Hille**Publisher:**Courier Corporation**ISBN:**9780486696201**Category:**Mathematics**Page:**484**View:**8671

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.

## Asymptotic Expansions for Ordinary Differential Equations

**Author**: Wolfgang Wasow**Publisher:**Courier Dover Publications**ISBN:**0486824586**Category:**Mathematics**Page:**384**View:**5904

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.

## Differential Equations

*A Concise Course*

**Author**: H. S. Bear**Publisher:**Courier Corporation**ISBN:**0486143643**Category:**Mathematics**Page:**224**View:**368

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.

## A Second Course in Elementary Differential Equations

**Author**: Paul Waltman**Publisher:**Courier Corporation**ISBN:**0486434788**Category:**Mathematics**Page:**259**View:**308

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.

## Ordinary Differential Equations and Stability Theory

*An Introduction*

**Author**: David A. Sánchez**Publisher:**Courier Corporation**ISBN:**0486638286**Category:**Mathematics**Page:**164**View:**5762

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.

## Basic Theory of Ordinary Differential Equations

**Author**: Po-Fang Hsieh,Yasutaka Sibuya**Publisher:**Springer Science & Business Media**ISBN:**9780387986999**Category:**Mathematics**Page:**468**View:**4332

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.

## Lectures on Differential and Integral Equations

**Author**: K?saku Yoshida**Publisher:**Courier Corporation**ISBN:**9780486666792**Category:**Mathematics**Page:**220**View:**1954

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.

## Introduction to Nonlinear Differential and Integral Equations

**Author**: Harold Thayer Davis**Publisher:**Courier Corporation**ISBN:**9780486609713**Category:**Mathematics**Page:**566**View:**1737

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.

## Ordinary Differential Equations and Their Solutions

**Author**: George Moseley Murphy**Publisher:**Courier Corporation**ISBN:**0486485919**Category:**Mathematics**Page:**451**View:**855

This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

## Modern Elementary Differential Equations

**Author**: Richard Bellman,Kenneth L. Cooke**Publisher:**Courier Corporation**ISBN:**9780486686431**Category:**Mathematics**Page:**228**View:**5621

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.

## Lectures on Partial Differential Equations

**Author**: I. G. Petrovsky**Publisher:**Courier Corporation**ISBN:**0486155080**Category:**Mathematics**Page:**272**View:**9087

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.

## Differential Equations

**Author**: F.G. Tricomi**Publisher:**Courier Corporation**ISBN:**0486299295**Category:**Mathematics**Page:**288**View:**4471

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.

## Elementary Functional Analysis

**Author**: Georgi E. Shilov**Publisher:**Courier Corporation**ISBN:**0486318680**Category:**Mathematics**Page:**352**View:**6906

Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

## Partial Differential Equations of Mathematical Physics

**Author**: S. L. Sobolev**Publisher:**Courier Corporation**ISBN:**9780486659640**Category:**Science**Page:**427**View:**3984

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.