Approaches to the Qualitative Theory of Ordinary Differential Equations

Download or read book Approaches to the Qualitative Theory of Ordinary Differential Equations written by Tong-Ren Ding and published by World Scientific. This book was released on 2007 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.