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

D. O'Regan

doi:10.1007/BF01876905

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

D. O'Regan

Mathematics

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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 {Mathematical expression}, with y satisfying either "mixed" boundary data y(1)=Lim_y→0+p(t)y′(t)=0 or "dirichlet" boundary data y(0)=y(1)=0. Throughout our nonlinear term qf is allowed to be singular at t=0, t=1, y=0 and/or py′=0.

Original language	English
Pages (from-to)	151-171
Number of pages	21
Journal	Periodica Mathematica Hungarica
Volume	28
Issue number	2
DOIs	https://doi.org/10.1007/BF01876905
Publication status	Published - Apr 1994

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AB - This paper is devoted to the problem of existence of solutions to the nonlinear singular two point boundary value problem {Mathematical expression}, with y satisfying either "mixed" boundary data y(1)=Limy→0+p(t)y′(t)=0 or "dirichlet" boundary data y(0)=y(1)=0. Throughout our nonlinear term qf is allowed to be singular at t=0, t=1, y=0 and/or py′=0.

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

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