A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR BOUNDARY-VALUE PROBLEMS OF HIGHER ORDER DIFFERENTIAL EQUATIONS

被引：0

作者：

Zhao, Chenglong ^{[1
]}

Yuan, Yanyan ^{[1
]}

Liu, Yansheng ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

基金：

美国国家科学基金会;

关键词：

Singular sublinear boundary-value problem; positive solution; fixed point theorem; cone; higher order differential equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of C-4n (2) positive solutions to a class of singular boundary-value problems. Some examples are presented to illustrate our main results.

引用

页数：19

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