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Existence, multiplicity and non-existence of positive solutions for two-point boundary-value problems with strong singularity

Published online by Cambridge University Press:  08 December 2010

Chan-Gyun Kim
Chan-Gyun Kim
Affiliation:
Department of Mathematics, Pusan National University, Pusan 609-735, South Korea
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Abstract

We study the existence, multiplicity and non-existence of positive solutions for the singular two-point boundary-value problems

where λ is a non-negative real parameter and f ∈ C((0, 1) × [0,∞), (0,∞)). Here, f(t, u) may be singular at t = 0 and/or 1. To obtain the main results we use the global continuation theorem and fixed-point index theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 140 , Issue 6 , December 2010 , pp. 1187 - 1196
Copyright
Copyright © Royal Society of Edinburgh 2010

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