Uniqueness of Positive Solutions for a Class of Fourth‐Order Boundary Value Problems

J. Caballero, J. Harjani and K. Sadarangani

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fourth‐order boundary value problem: y(4)(t) = f(t, y(t)), t ∈ [0, 1], y(0) = y(1) = y′(0) = y′(1) = 0. Moreover, under certain assumptions, we will prove that the above boundary value problem has a unique symmetric positive solution. Finally, we present some examples and we compare our results with the ones obtained in recent papers. Our analysis relies on a fixed point theorem in partially ordered metric spaces.

Date: 2011
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https://doi.org/10.1155/2011/543035

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:543035

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