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Research Article | Open Access

Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions

Ahmed M.A. El-Sayed1, Eman M.A. Hamdallah1( ), Hameda M. A. Alama2
Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Faculty of Science, Al-Mergib University, 40414, Libya
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Abstract

The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value problem of differential equation with nonlocal integral condition is considered. The eigenvalues and eigenfunctions are investigated.

Keywords

multiple solutionsSturm-Liouville boundary value problemnonlocal integral conditionseigenvalueseigenfunctions
CLC number: 34B07, 34B09

References

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 11150-11164
DOI: 10.3934/math.2022624

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Cite this article:
El-Sayed AM, Hamdallah EM, Alama HMA. Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions. AIMS Mathematics, 2022, 7(6): 11150-11164. https://doi.org/10.3934/math.2022624

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Received: 29 December 2021
Revised: 27 March 2022
Accepted: 01 April 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)