MULTIPLE POSITIVE SOLUTIONS FOR SUPERLINEAR SECOND ORDER SINGULAR BOUNDARY VALUE PROBLEMS WITH DERIVATIVE DEPENDENCE

被引：0

作者：

Yan Baoqiang ^{[1
,2
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 240014, Peoples R China

[2] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland

来源：

ACTA MATHEMATICA SCIENTIA | 2008年 / 28卷 / 04期

关键词：

Boundary value problems; singularity; fixed point index;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：851 / 864

页数：14

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