W-stability theorems of nonlinear impulsive functional differential systems

被引：9
|
作者：
Fu, Xilin [1 ]
Li, Xiaodi [1 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 221卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Impulsive functional differential systems; W-stable; Lyapunov function; Razumikhin technique;
D O I：
10.1016/j.cam.2007.10.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the W-stability of the solutions of nonlinear impulsive functional differential systems by using Lyapunov functions and Razumikhin technique. Some results that guarantee the W-stability and W-uniform stability are obtained here. And the asymptotical stability criteria of nonlinear impulsive functional differential systems are then established by using the W-uniform stability, which show the advantages of the obtained results. (C) 2007 Elsevier B.V. All fights reserved.
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页码：33 / 46
页数：14
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