The Qualitative Theory of Ordinary Differential Equations

An Introduction

Fred Brauer, Michael Harrington

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English

Dover Publications Inc.
01 February 1989

Mathematics & Sciences; Differential calculus & equations

Series: Dover Books on Mathema 1.4tics

Summary
Details

"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.

""This is a very good book ... with many well-chosen examples and illustrations."" - American Mathematical Monthly

This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes.

The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie.

One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods."

By: Fred Brauer, Michael Harrington
Imprint: Dover Publications Inc.
Country of Publication: United States
Edition: New edition
Dimensions: Height: 214mm, Width: 135mm, Spine: 16mm
Weight: 343g
ISBN: 9780486658469
ISBN 10: 0486658465
Series: Dover Books on Mathema 1.4tics
Pages: 320
Publication Date: 01 February 1989
Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , A / AS level , Undergraduate
Format: Paperback
Publisher's Status: Active