Existence of periodic solutions for a kind of second-order neutral functional differential equation

被引：26

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 / 157卷 / 02期

基金：

中国国家自然科学基金;

关键词：

periodic solution; continuation theorem; neutral functional differential equation;

D O I：

10.1016/j.amc.2003.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the continuation theorem of coincidence degree theory, we study a kind of second-order neutral functional differential equation as follows d(2)/dt(2) (u(t) - Sigma(j=1)(n)cju(t - r(j))) = f(u(t))u(1)(t) + alpha(t)g(u(t)) +Sigma(j=1)(n)beta(j)(t)g(u(t - y(j)(t)) + p(t). Some new results on the existence of periodic solutions are obtained. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：433 / 448

页数：16

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