Existence and uniqueness of positive periodic solutions for a first-order functional differential equation

被引：5

作者：

Yang, Chen ^{[1
]}

Zhai, Chengbo ^{[2
]}

Hao, Mengru ^{[2
]}

机构：

[1] Shanxi Univ, Coll Business, Basic Course Dept, Taiyuan 030031, Shanxi, Peoples R China

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

functional differential equation; positive periodic solution; existence and uniqueness; fixed point theorem for mixed monotone operators; PARAMETER; OPERATORS;

D O I：

10.1186/s13662-014-0341-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish sufficient conditions for the existence and uniqueness of positive periodic solutions for a class of first-order functional differential equations. Our analysis relies on some fixed point theorems for mixed monotone operators. Our results can not only guarantee the existence of unique positive periodic solutions, but also be applied to construct an iterative scheme for approximating them. Some examples are given to illustrate our main results.

引用

页数：15

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