Stability results for impulsive functional differential equations with infinite delay

被引：27

作者：

Faria, Teresa ^{[1
,2
]}

Gadotti, Marta C. ^{[3
]}

Oliveira, Jose J. ^{[4
,5
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, CMAF, P-1749016 Lisbon, Portugal

[3] Univ Estadual Paulista, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil

[4] Univ Minho, Escola Ciencias, Dept Matemat & Aplicacoes, P-4710057 Braga, Portugal

[5] Univ Minho, Escola Ciencias, CMAT, P-4710057 Braga, Portugal

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 18期

基金：

巴西圣保罗研究基金会;

关键词：

Infinite delay; Impulses Existence of solutions; Cohen-Grossberg neural network; Global asymptotic stability; Global exponential stability; GLOBAL EXPONENTIAL STABILITY; BAM NEURAL-NETWORKS; ASYMPTOTIC STABILITY; EXISTENCE; BOUNDEDNESS; SYSTEMS;

D O I：

10.1016/j.na.2012.07.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying discrete delays. Most of the impulsive neural network models with delay recently studied are included in the general framework presented here. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：6570 / 6587

页数：18

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