Principles of Classification of Differential Equations

Author: Shi Jinlin
Publisher:
Publish Date: 2003-04-01
Features: This book is suitable for graduate students in mathematics, physics, and other applied disciplines at universities, as well as for researchers and professionals in related fields. The content includes the definition methods of equivalence relations for ordinary differential equations (including non-autonomous cases), classification of linear equations, topological linearization, smooth linearization, and structural stability of nonlinear equations. These topics can be seen as extensions of concepts such as topological equivalence, topological conjugacy, linearization, and structural stability in the theory of dynamical systems to ordinary differential equations (including non-autonomous cases). However, the research methods are relatively elementary, and readers with a foundation in mathematical analysis, linear algebra, and ordinary differential equations can read it smoothly.