Translations of Mathematical Monographs
1992; 461 pp; Softcover
MSC: Primary 34;
Print ISBN: 978-0-8218-4183-9
Product Code: MMONO/101.S
List Price: $135.00
Individual Member Price: $81.00
Qualitative Theory of Differential EquationsShare this page
Zhang Zhi-fen; Ding Tong-ren; Huang Wen-zao; Dong Zhen-xi
Translated by: Anthony W. Leung
This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. It begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincaré-Bendixson theory. The authors present a careful analysis of solutions near critical points of linear and nonlinear planar systems and discuss indices of planar critical points. A very thorough study of limit cycles is given, including many results on quadratic systems and recent developments in China. Other topics included are: the critical point at infinity, harmonic solutions for periodic differential equations, systems of ordinary differential equations on the torus, and structural stability for systems on two-dimensional manifolds.
This books is accessible to graduate students and advanced undergraduates and is also of interest to researchers in this area. Exercises are included at the end of each chapter.
Table of Contents
Table of Contents
Qualitative Theory of Differential Equations
Graduate students and research mathematicians interested in differential equations.
The book could serve both as an excellent introduction to the field for the beginner, and as a valuable reference for the specialist, especially in presenting work of Chinese mathematicians.
-- Mathematical Reviews
An excellent blend of abstract theorems and valuable concrete examples … written interestingly … useful for students, teachers and researchers.
-- Zentralblatt MATH