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.
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页码：1348 / 1357
页数：10
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