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
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.
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页数:19
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