Existence of positive periodic solutions for neutral functional differential equations

被引：5

作者：

Liu, Guirong ^{[1
]}

Yan, Jurang

Zhang, Fengqin

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Yuncheng Univ, Dept Math, Yuncheng 044000, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 01期

基金：

中国国家自然科学基金;

关键词：

positive periodic solution; neutral functional differential equation; fixed point theorem; strict-set-contraction;

D O I：

10.1016/j.na.2005.11.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following neutral functional differential equation: x'(t) = x(t)[a(t) - F(t, x(t), x(t - sigma(1) (t)), ..., x(t - sigma(n) (t)), x'(t - tau(1)(t)), ..., x'(t - tau(m) (t)))]. (c) 2006 Published by Elsevier Ltd.

引用

页码：253 / 267

页数：15

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