Positive solutions for singular semi-positone three-point systems

被引：6
|
作者：
Xian, Xu [1 ]
机构：
[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210000, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 04期
基金：
中国博士后科学基金;
关键词：
semi-positone problems; three-point boundary value problems system; the fixed point index;
D O I：
10.1016/j.na.2005.12.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of positive solutions for a singular semi-positone three-point nonlinear boundary value problem system with parameter lambda > 0. Under certain super-linear conditions on the nonlinearities, by using the fixed point index method, we find lambda* > 0 such that the three-point boundary value problem system has at least one positive solution for 0 < lambda < lambda*. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：791 / 805
页数：15
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