Existence of positive solutions for a fourth-order three-point boundary value problem
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In this paper, we are concerned with a fourth-order three point boundary value problem. We prove the existence, uniqueness and positivity of solutions by using Leray–Schauder nonlinear alternative, Banach contraction theorem and Guo–Krasnosel’skii fixed point theorem.
KeywordsGuo–Kranosel’skii fixed point theorem Three point boundary value problem Positive solution Leray–Schauder nonlinear alternative Contraction principle
Mathematics Subject Classification34B10 34B15 34B18
The authors would like to express their thanks to the referees for their helpful comments and suggestions.
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