Periodic solutions of neutral differential equation with multiple deviating arguments

被引：14
|
作者：
Lu, SP [1 ]
Ge, WG
机构：
[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China
[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 156卷 / 03期
基金：
中国国家自然科学基金;
关键词：
neutral differential equation; periodic solution; Fredholm operator; k-set contractive operator;
D O I：
10.1016/j.amc.2003.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by means of an abstract continuous theorem of k-set contractive operator and some analysis techniques, the authors study the existence of periodic solution of the nonlinear neutral differential equation with multiple deviating arguments (d)/(dt) (X(t) - cx(t - tau)) = (n)(i=1)Sigma alpha(i)(t)f(x(t - tau(i)(t))) + (m)(j=1)Sigmabeta(j)(t)g(x'(t -gamma(j)(t))) + p(t). A new result is obtained. (C) 2003 Elsevier Inc. All rights reserved.
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页码：705 / 717
页数：13
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