Dynamic Systems on Measure Chains (Mathematics and Its Applications) by V. Lakshmikantham

by V. Lakshmikantham

Dynamic Systems on Measure Chains presents the current state of development of the theory of dynamic systems on time scales from a qualitative point of view. It consists of four chapters. Chapter one develops systematically the necessary calculus of functions on the times scales. In chapter two, dynamic systems on time scales are introduced, and the basic properties of solutions of such dynamic systems are proven. The theory of Lyapunov stability is discussed in chapter three in an appropriate setup. Chapter four is devoted to describing several different areas of investigations of dynamic systems on time scales which will provide an exciting prospect and impetus for further advances in this important area which is very new. The readership of this book consists of applied mathematicians, engineering scientists, research workers in dynamic systems, chaotic theory and neural nets.

Paperback

First published August 31, 1996