Positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals

被引：16

作者：

Yan, Baoqiang ^{[2
]}

O'Regan, Donal ^{[3
]}

Agarwal, Ravi P. ^{[1
]}

机构：

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

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

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

来源：

ACTA APPLICANDAE MATHEMATICAE | 2008年 / 103卷 / 01期

基金：

中国国家自然科学基金;

关键词：

boundary value problems; singularity; fixed point index;

D O I：

10.1007/s10440-008-9218-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of at least one positive solution and the existence of multiple positive solutions are established for the singular second-order boundary value problem {1/pt(t) (p(t)x'(t))' + Phi(t) f (t, x, px') = 0, 0 < t < + infinity, x(0) = =, lim(t ->+infinity) p(t)x'(t) = 0 using the fixed point index, where f may be singular at x = 0 and px' = 0.

引用

页码：19 / 57

页数：39

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