The Qualitative Theory of Ordinary Differential Equations: An Introduction

by Fred Brauer, John A. Nohel

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Major focus on stability theory and its applications to oscillation phenomena, self-excited oscillations and regulator problem of Lurie. Bibliography. Exercises.

Genres: Mathematics, Reference

320 pages, Paperback

First published February 1, 1989

Reviews

[Goo]

Read the first four chapters for a course on ODEs.

The book is very gentle and sometimes not entirely rigorous. The exercises are part of the text instead of coming at the end of chapters, making it ideal for self-study.

Highly recommended, especially if paired with a more rigorous treatment of ODEs.