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

Ahmed M.A. El-Sayed; Eman M.A. Hamdallah; Hameda M. A. Alama; Ahmed M.A. El-Sayed; Eman M.A. Hamdallah; Hameda M. A. Alama

doi:10.3934/math.2022624

AIMS Mathematics

2022, Volume 7, Issue 6: 11150-11164. doi: 10.3934/math.2022624

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Research article

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

1.
Faculty of Science, Alexandria University, Alexandria 21544, Egypt
2.
Faculty of Science, Al-Mergib University, 40414, Libya

Received: 29 December 2021 Revised: 27 March 2022 Accepted: 01 April 2022 Published: 11 April 2022
MSC : 34B07, 34B09

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.
- multiple solutions,
- Sturm-Liouville boundary value problem,
- nonlocal integral conditions,
- eigenvalues,
- eigenfunctions
Citation: Ahmed M.A. El-Sayed, Eman M.A. Hamdallah, Hameda M. A. Alama. Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions[J]. AIMS Mathematics, 2022, 7(6): 11150-11164. doi: 10.3934/math.2022624

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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.

References

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