A new nonlinear integro-differential inequality and its application

被引：9
|
作者：
Xu, Daoyi [1 ]
Wang, Xiaohu [1 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Integro-differential inequality; Barbalat's lemma; Invariant set; Attracting set; Cohen-Grossberg neural networks; GROSSBERG NEURAL-NETWORKS; STABILITY; DELAYS; INVARIANT; DISSIPATIVITY; EQUATIONS; ATTRACTOR; SETS;
D O I：
10.1016/j.aml.2009.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new nonlinear integro-differential inequality is established. Using the properties of M-cone and a generalization of Barbalat's lemma, the boundedness and asymptotic behavior for the solution of the inequality are obtained. Applying this nonlinear integro-differential inequality, the invariant and attracting sets for Cohen-Grossberg neural networks with mixed delays are obtained. The results extend and improve the earlier publications. An example is given to illustrate the efficiency of the obtained results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1721 / 1726
页数：6
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