uniqueness of positive solutions for a class of fourth-order boundary value problems

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ID: 250855
2011
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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.
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caballero2011abstractuniqueness Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
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Journal science and technology of advanced materials
Year 2011
DOI
10.1155/2011/543035
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