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

被引：0

作者：

Chen Yang

Chengbo Zhai

Mengru Hao

机构：

[1] Business College of Shanxi University,Basic Course Department

[2] Shanxi University,School of Mathematical Sciences

来源：

Advances in Difference Equations | / 2015卷

关键词：

functional differential equation; positive periodic solution; existence and uniqueness; fixed point theorem for mixed monotone operators; 26A33; 34B18; 34B27;

D O I：

暂无

中图分类号：

学科分类号：

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

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