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.
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页码：851 / 864
页数：14
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