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Ordinary Differential Equations and Stability Theory: An Introduction

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This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations.

The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.

Reprint of the W. H. Freeman & Company, San Francisco, 1968 edition.

Author: Sanchez David
Publisher: DOVER
Pages: 176
ISBN: 9780486837598
Cover: Paperback
Edition Number: 1
Release Year: 2019

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