Ordinary Differential Equations and Dynamical Systems

When Teschl (mathematics, U. of Vienna, Austria) was charged with teaching the basic course of ordinary differential equations, none of the many textbooks quite served his purpose. He wanted a concise but rigorous introduction with full proofs that also covered classical topics such as Sturm-Liouville boundary value problems, differential equations in the complex domain, and modern aspects of the qualitative theory of differential equations. He wrote his own notes, and posted them on his web site where, over the past decade, he, his students, colleagues, and others have commented, suggested revisions, and pointed out errors and obscurities. When other websites began referring to the notes, he decided it was time to get them in print. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Table of Contents

Chapter 1. Introduction

Chapter 2. Initial value problems

Chapter 3. Linear equations

Chapter 4. Differential equations in the complex domain

Chapter 5. Boundary value problems

Chapter 6. Dynamical systems

Chapter 7. Planar dynamical systems

Chapter 8. Higher dimensional dynamical systems

Chapter 9. Local behavior near fixed points

Chapter 10. Discrete dynamical systems

Chapter 11. Discrete dynamical systems in one dimension

Chapter 12. Periodic solutions

Chapter 13. Chaos in higher dimensional systems