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Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions

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Abstract

In this paper, we investigate the existence of monotone positive solutions for a fourth order boundary value problem with dependence on the derivative in nonlinearity under integral and multi-point boundary conditions. By applying the fixed point theorem in a cone, some criteria on the existence of positive solutions are acquired. These criteria are given by explicit conditions which are generally weaker than those derived by using the classical norm-type expansion and compression theorem. As applications, three examples are presented to illustrate the validity of our mains results.

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Acknowledgements

The authors would like to thank the referee for a careful reading of the paper and for his/her valuable comments.

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Authors and Affiliations

  1. Department of Physics, University of Sciences and Technology of Oran-MB, Oran, Algeria

    Faouzi Haddouchi

  2. Laboratory of Fundamental and Applied Mathematics of Oran, Department of Mathematics, University of Oran 1, Oran, Algeria

    Faouzi Haddouchi & Nourredine Houari

Authors
  1. Faouzi Haddouchi
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  2. Nourredine Houari
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Correspondence to Faouzi Haddouchi.

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Haddouchi, F., Houari, N. Monotone positive solution of fourth order boundary value problem with mixed integral and multi-point boundary conditions. J. Appl. Math. Comput. 66, 87–109 (2021). https://doi.org/10.1007/s12190-020-01426-4

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  • DOI: https://doi.org/10.1007/s12190-020-01426-4

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