Existence and uniqueness of positive periodic solutions for a class of integral equations with mixed monotone nonlinear terms

被引：4

作者：

Kang, Shugui ^{[1
]}

机构：

[1] Shanxi Datong Univ, Coll Math & Comp Sci, Datong 037009, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 71卷

基金：

中国国家自然科学基金;

关键词：

Periodic solution; Fixed point theory; Mixed monotone operator; Existence and uniqueness; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PARAMETERS;

D O I：

10.1016/j.aml.2017.03.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and the uniqueness of positive periodic solutions for a class of integral equations of the form phi(x) = integral([x,x+w]boolean AND G) K(x,y)[f(1)(y, phi(y-tau(y))) + f(2)(y, phi(y-tau(y)))]dy, x is an element of G, where G is a closed subset of R-N with periodic structure. Our analysis relies on the fixed point theory for mixed monotone operator in Banach space. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：24 / 29

页数：6

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