Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/44253
Title: Uniqueness of positive solutions for a class of fourth-order boundary value problems
Authors: Sadarangani, K. 
Harjani, J. 
Harjani, J. 
UNESCO Clasification: 120219 Ecuaciones diferenciales ordinarias
Keywords: Multiplicity
Existence
Equations
Issue Date: 2011
Project: Analisis No Lineal y Aplicaciones. 
Journal: Abstract and Applied Analysis 
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.
URI: http://hdl.handle.net/10553/44253
ISSN: 1085-3375
DOI: 10.1155/2011/543035
Source: Abstract and Applied Analysis [ISSN 1085-3375], v. 2011 (543035)
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