EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS ON AN INFINITE INTERVAL IN BANACH SPACES

被引：0
|
作者：
Chen, Xu [1 ]
Zhang, Xingqiu [1 ]
机构：
[1] Liaocheng Univ, Sch Math, Liaocheng, Shandong, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Singular differential equations; integral boundary; cone; ordering; positive solution; Monch fixed point theorem; OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article shows the existence of positive solutions for systems of nonlinear singular differential equations with integral boundary conditions on an infinite interval in Banach spaces. Our main tool is the Monch fixed point theorem combined with a monotone iterative technique. In addition, an explicit iterative approximation of the solution is provided.
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页数：19
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