Global exponential stability of impulsive reaction-diffusion equation with variable delays

被引：16
|
作者：
Zhu, Wei [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Inst Appl Math, Chongqing 400065, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 205卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Global exponential stability; Reaction-diffusion; Impulsive; Impulsive differential inequality; Spectral radius;
D O I：
10.1016/j.amc.2008.08.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the global exponential stability of an impulsive reaction-diffusion equation with variable delays is investigated. By establishing an impulsive differential inequality and using the propertied of rho-cone and eigenspace of the spectral radius of nonnegative matrix, some new sufficient conditions on its global exponential stability are obtained. The sufficient conditions are easily checked in practice by simple algebra methods and have a wider adaptive range. An example is given to illustrate the effectiveness of the theoretical result. (C) 2008 Published by Elsevier Inc.
引用
收藏
页码：362 / 369
页数：8
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