Existence and global attractivity of almost periodic solutions for neural field with time delay

被引：3
|
作者：
Lou, Xuyang [1 ,2 ]
Cui, Baotong [1 ,3 ]
机构：
[1] Jiangnan Univ, Coll Commun & Control Engn, Jiangsu 214122, Peoples R China
[2] CSIRO, Div Math & Informat Sci, Glen Osmond, SA 5064, Australia
[3] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 200卷 / 01期
基金：
中国国家自然科学基金;
关键词：
existence; global attractivity; almost periodic solutions; neural field; exponential dichotomy; Banach fixed point theory;
D O I：
10.1016/j.amc.2007.11.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of existence and attractivity of almost periodic solutions for delayed neural field (DNF) with variable coefficients is discussed. First, the model of DNF is established as a modified neural field model. Secondly, by combining the theory of the exponential dichotomy, employing Banach fixed point theory and using differential inequality technique, some conditions for the the existence and attractivity of almost periodic solutions for the DNF are proposed. (C) 2007 Elsevier Inc. All rights reserved.
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页码：465 / 472
页数：8
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