Multiple positive solutions for superlinear second order singular boundary value problems with derivative dependence |
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| Authors: | Yan Baoqiang |
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| Affiliation: | [1]Department of Mathematics, Shandong Normal University, Jinan 240014, China [2]School of Mathematics, Trinity College, Dublin 2, Ireland |
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| 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. |
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| Keywords: | Boundary value problems singularity fixed point index |
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