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
收藏
页码：24 / 29
页数：6
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