摘要
This paper obtained some theorems that can ascertain the zero solution of functional differential equations are extremely uniformly stable, extremely asymptotically stable or extremely uniformly asymptotically stable. In the obtained theorems, the derivative of Liapunov function on t along the solutions of functional differential equations is not required to be always negative, especially, it may be even positive.
This paper obtained some theorems that can ascertain the zero solution of functional differential equations are extremely uniformly stable, extremely asymptotically stable or extremely uniformly asymptotically stable. In the obtained theorems, the derivative of Liapunov function on t along the solutions of functional differential equations is not required to be always negative, especially, it may be even positive.
基金
National Natural Science Foundation ofChina( No.1983 10 3 0 )
关键词
微分方程
非统一稳定性
有限延迟
泛函微分方程
渐近稳定度
functional differential equation with finite delay
extremely uniform stability
extremely asymptotic stability
extremely uniformly asymptotic stability
