POSITIVE SOLUTIONS FOR SINGULAR STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS ON THE HALF LINE

被引：0

作者：

Xu, Jiafa ^{[1
]}

Yang, Zhilin ^{[1
]}

机构：

[1] Qingdao Technol Univ, Dept Math, Qingdao, Shandong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Sturm-Liouville problem on the half line; positive solution; fixed point index; spectral radius;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence and multiplicity of positive solutions for the singular Sturm-Liouville boundary value problem (p(t)u'(t))' + h(t)f(t, u(t)) = 0, 0 < t < infinity, au(0) - b lim(t -> 0+) p(t)u'(t) = 0, c lim(t ->infinity) u(t) + d lim(t ->infinity) p(t)u'(t) = 0. We use fixed point index theory to establish our main results based on a priori estimates derived by utilizing spectral properties of associated linear integral operators.

引用

页数：8

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