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.
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页码：253 / 267
页数：15
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