Stability and boundedness for impulsive functional differential equations with infinite delays

被引：54
|
作者：
Luo, ZG [1 ]
Shen, JH [1 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 46卷 / 04期
关键词：
stability; boundedness; impulsive differential equation; Razumikhin technique; Lyapunov functional;
D O I：
10.1016/S0362-546X(00)00123-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An analysis of stability and boundedness for impulsive functional differential equations with infinte delays was presented. The implications of Lyapunov-Razumikhin-type stability and boundedness theorems for functional differential equations with infinite delays extended to impulsive functional differential equations were examined. The analysis used Lyapunov functionals for stability and Lyapunov functions for boundedness.
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页码：475 / 493
页数：19
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