Stability of functional differential equations with impulses

被引：22

作者：

Liu, Kaien ^{[1
]}

Fu, Xilin

机构：

[1] Qingdao Univ, Dept Math, Shandong 266071, Peoples R China

[2] Shandong Normal Univ, Dept Math, Shandong 250014, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 02期

基金：

中国国家自然科学基金;

关键词：

FDE with impulses; uniform stability; uniform asymptotic stability; Lyapunov-Razumikhin functions;

D O I：

10.1016/j.jmaa.2006.05.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper, the stability of functional differential equations (FDE) with impulses is investigated. Some comparison theorems are given. Several Lyapunov-Razumikhin functions of partial components of the state variable x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. The results improve and generalize the ones in the literature. An example is also given to illustrate the importance of our results. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：830 / 841

页数：12

共 4 条

[1]

Ballinger G., 2000, APPL ANAL, V74, P71, DOI [10.1080 /00036810008840804, DOI 10.1080/00036810008840804]

[2]

A new approach to stability of impulsive functional differential equations [J].