Property of positive solutions and its applications for Sturm-Liouville singular boundary value problems

被引：6

作者：

Zhao, Zengqin ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Singular Sturm-Liouville problem; Property of solution;

D O I：

10.1016/j.na.2005.05.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the property of the positive solutions for Sturm-Liouville singular boundary value problems with the linear conditions. We obtain a relation between the solutions and Green's function. It implies a necessary condition for the C-1[0, 1] positive solutions. We apply the result to conclude that the given equation has no C-1[0, 1] positive solutions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：4514 / 4520

页数：7

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