The improvement of Razumikhin type theorems for impulsive functional differential equations

被引：4

作者：

Liu, Kaien ^{[1
,2
]}

Yang, Guowei ^{[3
]}

机构：

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

[2] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China

[3] Qingdao Univ, Sch Automat Engn, Qingdao 266071, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Stability; Impulse; Functional differential equation; Lyapunov function; Razumikhin technique; STABILITY; DELAY; SYSTEMS;

D O I：

10.1016/j.na.2008.04.013

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, by using Lyapunov functions and Razumikhin techniques, the stability of impulsive functional differential equations is investigated. The obtained results avoid the difficulty of constructing a P function in Razumikhin's condition and they generalize and improve the existing theorems. An example is given to illustrate the importance of the obtained results. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3104 / 3109

页数：6

共 16 条

[1]

Anokhin A., 1986, SOV MATH DOKL, V33, P220

[2]

CHEN BS, 1991, ACTA MATH SINICA, V34, P277

[3]

New Razumikhin-type theorems on the stability for impulsive functional differential systems [J].