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Multiplicity results for a boundary value problem with integral boundary conditions

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Abstract

The main purpose of this paper is to establish existence and multiplicity of positive solutions for a system of fourth-order boundary value problem with multi-point and integral conditions. To prove our results, we used Leggett–Williams fixed point theorem. An example is presented to illustrate our main results.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Sciences and Arts Khulais, Jeddah University, Jeddah, Kingdom of Saudi Arabia

    Abdeljabbar Ghanmii

  2. Faculté des Sciences de Tunis, Université de Tunis El Manar, Tunis, Tunisia

    Abdeljabbar Ghanmii & Rochdi Jebari

  3. Department of Mathematics, College of Science and Humanities-Kowaiyia, Shaqra University, Shaqraa, Kingdom of Saudi Arabia

    Rochdi Jebari

  4. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China

    Ziheng Zhang

Authors
  1. Abdeljabbar Ghanmii
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  2. Rochdi Jebari
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  3. Ziheng Zhang
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Correspondence to Abdeljabbar Ghanmii.

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Z. Zhang: Partially supported by the NSFC (11771044).

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Ghanmii, A., Jebari, R. & Zhang, Z. Multiplicity results for a boundary value problem with integral boundary conditions. SeMA 76, 365–381 (2019). https://doi.org/10.1007/s40324-018-0181-1

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  • DOI: https://doi.org/10.1007/s40324-018-0181-1

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