Acta mathematica scientia, Series B >
MULTIPLE POSITIVE SOLUTIONS BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER SINGULAR WITH DERIVATIVE DEPENDENCE
Received date: 2006-03-20
Revised date: 2006-12-21
Online published: 2008-10-20
The existence of at least two positive solutions is presented for the singular second-order boundary value problem
{(p(t)/1 (p(t)x’(t))′+Φ(t)f(t, x(t), p(t)x′(t))=0, 0 ＜t ＜1,
limt→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.
Key words： Boundary value problems; singularity; fixed point index
Yan Baoqiang . MULTIPLE POSITIVE SOLUTIONS BOUNDARY VALUE PROBLEMS FOR SUPERLINEAR SECOND ORDER SINGULAR WITH DERIVATIVE DEPENDENCE[J]. Acta mathematica scientia, Series B, 2008 , 28(4) : 851 -864 . DOI: 10.1016/S0252-9602(08)60086-7
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