Existence results for a self-adjoint coupled  system of nonlinear second-order ordinary differential inclusions with nonlocal integral boundary conditions

Bashir Ahmad; Amal Almalki; Sotiris  Ntouyas; Ahmed Alsaedi

doi:10.26637/mjm1202/001

Abstract

A coupled system of nonlinear self-adjoint second-order ordinary differential inclusions supplemented with nonlocal non-separated coupled integral boundary conditions on an arbitrary domain is studied. The existence results for convex and non-convex valued maps involved in the given problem are proved by applying nonlinear alternative of Leray-Schauder for multi-valued maps, and Covitz-Nadler's fixed point theorem for contractive multi-valued maps, respectively. Illustrative examples for the obtained results are presented. The paper concludes with some interesting observations.

Keywords:

Self-adjoint ordinary differential inclusions; coupled; nonlocal integral boundary conditions; existence; fixed point

Mathematics Subject Classification:

34A60, 33E20, 34B15

Authors Imprint References Funding Related Articles Downloads

Bashir Ahmad Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. https://orcid.org/0000-0001-5350-2977
Amal Almalki Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
Sotiris Ntouyas Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Pages: 122-155
Date Published: 01-04-2024
Vol. 12 No. 02 (2024): Malaya Journal of Matematik (MJM)

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