Analysis Of Stability Of Some Difference Systems

In this paper, the relative stability and partial stabiity of two difference systems, the eventual relative stability of impulsive difference system and the Lipschitz stability, boundedness and stability in terms of two measures of implicit difference systems were studied. The paper is composed of four chapters.In Chapter 1, the historical background and current situation of the difference systems are introduced as well as the main work of the paper.In Chapter 2, the relative stability and partial stability of two difference systems are discussed by using the method of Lyapunov functions and comparison theorem of comparison difference systems and several criteria are given.In Chapter 3, the eventual relative stability of impulsive difference system is discussed and a criterion is given.In Chapter 4, the Lipschitz stability, boundedness and the stability in terms of two measures of implicit difference systems are discussed and several criteria are given.