Stability Of Differential System With Delay

Delay is a common phenomenon in the objective world and engineering fields. Since 1950s, scholars began to study the system with delay systematically and also made substantial and comprehensive progress. Meanwhile, we notice that, in many practical systems, in order to describe the system more accurately and further to design, analysis and apply it, we must take the influence of delay into consideration. So, it is of important practical meanings to study the delay differential systems.This paper is composed of three chapters, which mainly investigated the stability of delay differential systems.In the first chapter, the preliminary knowledge which is necessary in the paper is given.In chapter 2, we investigate the 3/2 stability for a class of perturbing nonautonomous neutral differential equation with varying delay, and obtain sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stability .In chapter 3, we consider the stability of a class of nonlinear differential equations with multidelay. Some concise stability criterions of differential equations are obtained by making equations stable with delay terms.