泛函微分方程安全全局渐近稳定性的一类判别准则

The Criterions of Total Overall Asymptotic Stability of Functional Differential Equations

本文利用分离变量型 V函数 ,建立了泛函微分方程安全全局渐近稳定性的一类 Razumikhin型定理 ,并对一类变时滞线性微分差分方程给出简明的安全全局渐近稳定性判别准则。

In this paper,we obtain some Ranumikhin type theorems for the tatal overall asymptitic stability of functional differential equations by using function with separate variables,and some simple criteria of tatal overall asymtotic stability for a class of linear difference differential equations with variant delays are given.