Brauer F., Nohel J. The Qualitative Theory of Ordinary Differential Equations: An Introduction

Dover Publications, 1989. — 320 p.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.