Multiple positive periodic solutions for a class of state-dependent delay functional differential equations with feedback control

被引：4

作者：

Zeng, Zhijun ^{[1
]}

Zhou, Zhongcheng ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 197卷 / 01期

关键词：

state-dependent delay; positive periodic solution; functional differential equations; the Krasnoselskii fixed point theorem; feedback control;

D O I：

10.1016/j.amc.2007.07.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing Krasnoselskii fixed point theorem, we investigate the existence of multiple positive periodic solutions for a class of state-dependent delay functional differential equations with feedback control. The system considered in this paper is more general and incorporates as special cases various problems which have been studied extensively in the literature. Moreover, some easily veri. able sufficient criteria are established. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：306 / 316

页数：11

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