A Short Course in Ordinary Differential Equations

Qingkai Kong is a Professor and Director of Undergraduate Studies in the Department of Mathematical Sciences at Northern Illinois University. He holds a M.Sc and Ph.D from the University of Alberta. Dr. Kong is a recipient of the Huo Ying-Dong Teaching Award and has refereed for over 50 journals.

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.

"All material is carefully organized and presented in a transparent manner. The text contains a large number of solved problems which illustrate well theoretical material. Each chapter concludes with a selection of exercises for independent study; hints and answers to exercises are collected in the end of the book along with a useful list of references and a subject index. ... Undoubtedly, this book is a very valuable contribution to existing texts on qualitative theory of differential equations." (Yuriy V. Rogovchenko, zbMATH, Vol. 1326.34007, 2016)