Existence of maximal and minimal periodic solutions for first-order functional differential equations

被引：14

作者：

Kang, Shugui ^{[1
]}

Shi, Bao ^{[2
]}

Wang, Genqiang ^{[3
]}

机构：

[1] Shanxi Datong Univ, Inst Appl Math, Datong 037009, Shanxi, Peoples R China

[2] Naval Aeronaut Engn Inst, Inst Appl Math, Yantai 264001, Shandong, Peoples R China

[3] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 01期

关键词：

First-order functional differential equations; Lower and upper solutions; Maximal and minimal periodic solutions; Existence; Fixed point;

D O I：

10.1016/j.aml.2009.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

One important question in population models is whether periodic solutions exist and whether they are bounded between minimal and maximal solutions. This paper deals with the existence of maximal and minimal periodic solutions for the periodic solutions of a first-order functional differential equation y'(t) = -a(t)y(t) + f(t,y(t - tau(t))) by using the method of lower and upper solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：22 / 25

页数：4