A Short Course in Ordinary Differential Equations

• Main Author: Kong, Qingkai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear d...

Table of Contents:

• Preface
• Notation and Abbreviations
• 1. Initial Value Problems
• 2. Linear Differential Equations
• 3. Lyapunov Stability Theory
• 4. Dynamic Systems and Planar Autonomous Equations
• 5. Introduction to Bifurcation Theory
• 6. Second-Order Linear Equations
• Answers and Hints
• Bibliography
• Index.