Spine Slightly Cocked. SUB-TITLE: An Introduction. ALSO KNOWN AS: This Dover edition, first published in 1979, s an unabridged and unaltered republication of the work originally published in 1968 by W. H. Freeman and Company. CONTENTS: Chapter 1 Introduction; Chapter 2 The Linear Equation: General Discussion; Chapter 3 The Linear Equation with Constant Coefficients; Chapter 4 Autonomous Systems and Phase Space; Chapter 5 Stability for Nonautonomous Equations; Chapter 6 Existence, Uniqueness, and Related Topics; Appendix A Series Solutions of Second-Order Linear Equations; Appendix B Linear Systems with Periodic Coefficients; References; Index. PUBLISHER: Dover Publications, Inc. New York. A DOVER EDITION DESIGNED FOR YEARS OF USE! We have made every effort to make this the best book possible. Our paper is opaque, with minimal show-through; it will not discolor or become brittle with age. Pages are sewn in signatures, in the method traditionally used for the best books, and will not drop out, as often happens with paperbacks held together with glue. Books open flat for easy reference. The binding will not crack or split. This is a permanent book. SYNOPSIS: This is a brief, modern introduction to the subject of ordinary differential equations, with an emphasis on stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for the advanced undergraduate or beginning graduate student who has had a first course in ordinary differential equations. The author begins with a discussion of the linear system x = A(t)x and develops the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. He then introduces the nonhomogeneous linear equation and the important variation of parameters formula, by which, following a consideration of the nth-order linear equation, the solution of the nonhomogeneous nth-order linear equation is obtained. A chapter is then devoted to the linear equation with constant coefficients. The two following chapters are introductory discussions of stability theory for autonomous and nonautonomous systems. Included here are two results for nonlinear systems, Liapunov's direct method, and some results for the second-order linear equation. The final chapter takes up the problems of the existence and uniqueness of solutions and related topics. Two appendices-"Series Solutions of Second-Order Linear Equations" and "Linear Systems with Periodic Coefficients"-are also provided, and there are problems at the end of each chapter-55 in all. David A. Sanchez received his B.S. at the University of New Mexico and his M.S. and Ph.D. degrees from the University of Michigan. He has taught at the University of California at Los Angeles, and currently teaches at the University of New Mexico. Size: 8vo - over 7�" - 9�" tall.

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Bibliographic Details

Title

Ordinary Differential Equations and Stability Theory

Publisher

Dover Publications, Inc., New York

Publication Date

2012

Language

English

ISBN 10

0486638286

ISBN 13

9780486638287

Binding

Trade Paperback

Illustrator

Paul E. Kennedy

Condition

As New

Seller catalogs

Mathematics

About this title

Synopsis

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.

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