POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS

被引：0

作者：

Agarwal, Ravi P. ^{[1
]}

O'Regan, Donal ^{[2
]}

Yan, Baoqiang ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Three-point boundary value problems; singularity; positive solutions; fixed point index;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y ''(t) + a(t)f(t, y(t), y'(t)) - 0, 0 < t < 1, y'(0) = 0, y(1) = alpha y(eta), where 0 < alpha < 1, 0 < eta < 1, and f may be singular at y = 0 and y' = 0.

引用

页数：20

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