Peking University Series in Mathematics - Vol. 3
APPROACHES TO THE QUALITATIVE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS
Dynamical Systems and Nonlinear Oscillations
by Ding Tongren (Peking University, China)
Table of Contents (57k)
Preface (72k)
Chapter 1: Cauchy Problem (329k)
This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing’s equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.
Contents:
- Cauchy Problem
- Global Behavior of Solution
- Autonomous Systems
-
Non-Autonomous Systems
- Dynamical Systems
- Fixed-Point Theorems
- Bend-Twist Theorem
- Chaotic Motions
- Perturbation Method
- Duffing Equations of Second Order
- Some Special Problems
Readership: Graduate students interested in the theory of ordinary
differential equations and dynamical systems.
| 396pp |
Pub. date: Aug 2007 |
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