一般辅助函数判断零解的Ⅲ型稳定性的新方法

A Method to Check Type-Ⅲ Stability of Null Solution by General Auxiliary Function

给出了用一般辅助函数来判定微分方程的解关于部分变元的Ⅲ型稳定性及渐近稳定性的充分条件 ,它是Liapunov直接方法的推广 。

This paper presents efficient conditions for judging the solution of difference by general auxiliary function concering the Type Ⅲ stability and the approaching stability of the partial variables,which is the dissemination of Liapunov instant method,and its essence is the macro control of the equation by auxiliary function.