On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system

被引：18

作者：

Liu, Lishan ^{[1
,2
]}

Zhang, Xinguang ^{[1
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 01期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

nonlinear singular semipositone system; positive solutions; cone;

D O I：

10.1016/j.amc.2007.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing the well-known fixed point index theorem and making a substitution, the existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system is investigated. Some new existence results are established and an example is presented to demonstrate the application of our main results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：223 / 232

页数：10

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