文章基本信息

标题：Existence and uniqueness of positive periodic solutions for a first-order functional differential equation
本地全文：下载
作者：Chen Yang ; Chengbo Zhai ; Mengru Hao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：5
DOI：10.1186/s13662-014-0341-2
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：functional differential equation ; positive periodic solution ; existence and uniqueness ; fixed point theorem for mixed monotone operators