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Positive solutions to certain classes of singular nonlinear second order boundary value problems

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Abstract

This paper is devoted to the problem of existence of solutions to the nonlinear singular two point boundary value problem\(\tfrac{1}{{p\left( t \right)}}(p(t)y')' + q(t)f(t,{\text{ }}y,{\text{ }}p(t)y') = 0,{\text{ }}0< t< 1\), withy satisfying either “mixed” boundary datay(1)=Limy→0+p(t)y′(t)=0 or “dirichlet” boundary datay(0)=y(1)=0. Throughout our nonlinear termqf is allowed to be singular att=0,t=1,y=0 and/orpy′=0.

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  1. Mathematics Department, University College Galway, Galway, Ireland

    D. O'Regan

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  1. D. O'Regan
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O'Regan, D. Positive solutions to certain classes of singular nonlinear second order boundary value problems. Period Math Hung 28, 151–171 (1994). https://doi.org/10.1007/BF01876905

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