Stability Of Solutions About Two Kinds Of Differential Systems

In this paper,we mainly consider two kinds of differential systems,which is the impulsive fuzzy cellular neural networks with multi-proportional delays and a population model of cooperative system with stage structure.Several sufficient conditions are achieved to ensure the stability of solutions by a series of systematic analyses.And the thesis is composed of three chapters.In Chapter 1,The historical background,research status and the main works of this dissertation are introduced.In Chapter 2,we study a class of impulsive fuzzy cellular neural networks with multi-proportional delays.By using the approach of estimating of the Cauchy matrix of the corresponding linear impulsive differential equations and the contraction mapping fixed point theorem,several sufficient conditions for the existence and the exponential stability of a unique pseudo almost periodic solution for this system are established.Furthermore,a numerical example is give to illustrate this result.In Chapter 3,we discuss a population model of cooperative system with stage structure.By using the iterative method of differential equation,differential inequality techniques and the principle of comparison,some sufficient conditions to guarantee the global attractivity of the unique positive equilibrium point of this system are obtained.Our results improve and extend some previous works.