Application of Qualitative Methods for Ordinary Differential Equations

Author: Ding Tongren
Publisher:
Publish Date: 2004-01-01
Features: This book focuses on the application of qualitative methods for ordinary differential equations in theoretical research. It is closely related to the author's many years of teaching and research in the Department of Mathematics at Peking University, making it suitable as a teaching text for fellow teachers and graduate students. The book consists of six chapters: Basic Knowledge of Ordinary Differential Equations, Poincaré Indices and Their Applications, Topological Dynamics and Chaos, Exploration of Several Open Problems, Non-Resonance of Duffing Differential Equations, and Analysis of Several Special Differential Equations. ..