Positive periodic solutions for a class of higher-dimensional state-dependent delay functional differential equations with feedback control

被引：13

作者：

Li, YK ^{[1
]}

Zhu, LF ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 159卷 / 03期

关键词：

state-dependent delay; positive periodic solution; fixed point theorem; feedback control;

D O I：

10.1016/j.amc.2003.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the Krasnosel'skii's fixed point theorem for cones to study the existence of positive periodic solutions of the following a class of higher-dimensional state-dependent delay functional differential equations with feedback control, {(t) = -A(t)x(t) +f(t,x(l),x(t - tau(/, x(t))): u(t - alpha(/))), u(t) = -B(t)u(t) + C(t)x(h(t,x(t))). Moreover, we apply our results obtained in this paper to some population model. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：783 / 795

页数：13