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

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 un...

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Bibliographic Details
Main Authors: J. Caballero, J. Harjani, K. Sadarangani
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/543035