Differential equations qualitative theory

Author: Zhang Zhifeng Ding Tongren
Publisher:
Publish Date: 2003-09-02
Features: This book is based on the author's many years of teaching and research in the qualitative theory of ordinary differential equations. It focuses on introducing the main contents and methods of plane qualitative theory, with the key points being: plane singularities, the existence, uniqueness, and number of limit cycles, infinity singularities, oscillatory solutions of two-dimensional periodic systems, ordinary differential equations on tori, and structural stability on two-dimensional manifolds. Each chapter of the book is accompanied by exercises. This book is suitable for senior undergraduate and graduate students in mathematics departments, as well as for teachers and researchers.