NEW RAZUMIKHIN TYPE STABILITY THEOREM FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

被引：3

作者：

Wang, Jiayu ^{[1
]}

Li, Xiaodi ^{[2
]}

机构：

[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

[2] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2011年 / 9卷 / 03期

关键词：

Impulsive functional differential equations; infinite delays; uniform asymptotic stability; global stability; Razumikhin technique; Lyapunov functions; EXPONENTIAL STABILITY; STABILIZATION; BOUNDEDNESS; SYSTEMS;

D O I：

10.1142/S0219530511001881

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the stability of impulsive functional differential equations with infinite delays are investigated. By using Lyapunov functions and the Razumikhin technique, a new theorem on the uniform asymptotic stability and global asymptotic stability for such differential equations is obtained. An example is given to illustrate the feasibility of the result.

引用

页码：315 / 327

页数：13

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