Confining a non-negative solution between a lower and upper solution for a sixth-degree boundary value problem

  • Zouaoui Bekri University of Oran 1, Laboratory of Fundamental and Applied Mathematics, Oran; Nour Bachir University Center, Institute of Sciences, Department of Sciences and Technology, El-Bayadh; People’s Democratic Republic of Algeria https://orcid.org/0000-0002-2430-6499
  • Nicola Fabiano University of Belgrade, “Vinča” Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Belgrade, Republic of Serbia https://orcid.org/0000-0003-1645-2071
  • Mohammad Esmael Samei Bu-Ali Sina University, Faculty of Basic Science, Department of Mathematic, Hamedan, Islamic Republic of Iran https://orcid.org/0000-0002-5450-3127
  • Stojan Radenović University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Republic of Serbia https://orcid.org/0000-0001-8254-6688
DOI: https://doi.org/10.5937/vojtehg72-48996
Keywords: Leray-Schauder nonlinear alternative, Green’s function, fixed point theorem, lower and upper solutions, boundary value problem

Abstract


Introduction/purpose: The aim of the paper is to prove the existence of solutions for a special case of the sixth-order boundary value problem.

Methods: The Leray-Schauder fixed point theorem is used in order to determine lower and upper bound solutions.

Results: Lower and upper bound solutions have been found.

Conclusions: The sixth-order boundary value problem admits solutions.

References

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Published
2024/06/10
Issue
Vol. 72 No. 2 (2024): April-June
Section
Original Scientific Papers

Copyright (c) 2024 Zouaoui Bekri, Nikola Fabiano, Mohammad Esmael Samei, Stojan Radenović

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