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

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Abstract

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.

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Acknowledgments

The authors would like to express their thanks to the referees for their helpful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University Badji Mokhtar, B.P. 12, 23000, Annaba, Algeria

    A. Guezane-Lakoud

  2. Department of Mathematics, Faculty of Sciences, University 8 may 1945 Guelma, B.P 401, 24000, Guelma, Algeria

    L. Zenkoufi

Authors
  1. A. Guezane-Lakoud
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  2. L. Zenkoufi
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Correspondence to L. Zenkoufi.

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Guezane-Lakoud, A., Zenkoufi, L. Existence of positive solutions for a fourth-order three-point boundary value problem. J. Appl. Math. Comput. 50, 139–155 (2016). https://doi.org/10.1007/s12190-014-0863-5

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  • DOI: https://doi.org/10.1007/s12190-014-0863-5

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