Existence of positive solutions for second-order semipositone differential equations on the half-line

被引：15

作者：

Zhang, Xinguang

Liu, Lishan ^{[1
]}

Wu, Yonghong

机构：

[1] Qufu Normal Univ, Dept Math, Shandong 273166, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6001, Australia

[3] Yantai Univ, Dept Math & Informat Sci, Shandong 264005, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 185卷 / 01期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

semipositone; half-line; positive solutions; cone;

D O I：

10.1016/j.amc.2006.07.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by means of constructing a special cone, we obtain a sufficient condition for the existence of positive solution for semipositone singular Sturm-Liouville boundary value problem on the half-line. The results obtained generalize and improve the corresponding results of Zhang and Liu in papers [X.G. Zhang, L.S. Liu, Positive solutions of superlinear semipositone singular Dirichlet boundary value problems, J. Math. Anal. Appl. 316 (2006) 525-537, Y.S. Liu, Existence and unboundedness of positive solutions for singular boundary value problems on half-line, Appl. Math. Comput. 144 (2003) 543-556]. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：628 / 635

页数：8

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