Existence of positive solutions for 2nth-order singular semipositone differential equations with Sturm-Liouville boundary conditions

被引：9

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 | 2010年 / 72卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

2nth-order differential equation; Singular boundary value problem; Semipositone; Positive solution; Fixed point index;

D O I：

10.1016/j.na.2009.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a class of 2nth-order singular semipositone differential equations with Sturm-Liouville boundary conditions. Some new results on the existence of C((2n-2))[0, 1] positive solutions and C((2n-1))[0, 1] positive solutions for this class of differential equations are derived. We obtain some relations between the solutions and Green's functions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1348 / 1357

页数：10

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