TY  - BOOK
AU  - Kong,Qingkai
TI  - Short course in ordinary differential equations
T2  - Universitext 
SN  - 9783319112381
U1  - 515.352 23
PY  - 2014///
CY  - Switzerland
PB  - Springer
KW  - Differential equations.
KW  - Mathematics.
KW  - Ordinary Differential Equations
N1  - Includes bibliographical references and index; Preface --
 Notation and Abbreviations --
 1. Initial Value Problems --
 2. Linear Differential Equations --
 3. Lyapunov Stability Theory --
 4. Dynamic Systems and Planar Autonomous Equations --
 5. Introduction to Bifurcation Theory --
 6. Second-Order Linear Equations --
 Answers and Hints --
 Bibliography --
 Index
N2  - This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré?Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm?Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.
ER  -