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Multiple positive solutions for superlinear second order singular boundary value problems with derivative dependence
Authors:Yan Baoqiang  
Institution:[1]Department of Mathematics, Shandong Normal University, Jinan 240014, China [2]School of Mathematics, Trinity College, Dublin 2, Ireland
Abstract:The existence of at least two positive solutions is presented for the singular second-order boundary value problem {1/p(t)x'(t)' Φ(t)f(t,x(t),p(t)x'(t)))=0,0<1<1, lim t→0p(t)x'(t) = 0, x(1) = 0, by using the fixed point index, where f may be singular at x = 0 and px' = 0.
Keywords:Boundary value problems  singularity  fixed point index
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