Existence of positive solutions for a fourth-order three-point boundary value problem

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• 作者：A. Guezane-Lakoud ; L. Zenkoufi
• 关键词：Guo–Kranosel’skii fixed point theorem ; Three point boundary value problem ; Positive solution ; Leray–Schauder nonlinear alternative ; Contraction principle ; 34B10 ; 34B15 ; 34B18
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：50
• 期：1-2
• 页码：139-155
• 全文大小：435 KB
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• 作者单位：A. Guezane-Lakoud (1)
  L. Zenkoufi (2)
  
  1. Department of Mathematics, Faculty of Sciences, University Badji Mokhtar, B.P. 12, 23000, Annaba, Algeria
  2. Department of Mathematics, Faculty of Sciences, University 8 may 1945 Guelma, B.P 401, 24000, Guelma, Algeria
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085

文摘

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. Keywords Guo–Kranosel’skii fixed point theorem Three point boundary value problem Positive solution Leray–Schauder nonlinear alternative Contraction principle