Electron. J. Diff. Equ., Vol. 2013 (2013), No. 203, pp. 1-13.

Existence results for n-th order multipoint integral boundary-value problems of differential inclusions

Bashir Ahmad, Sotiris K. Ntouyas, Hamed H. Alsulami

Abstract:
In this article we study the existence of solutions for n-th order differential inclusions with nonlocal integral boundary conditions. Our results are based on some classical fixed point theorems for multivalued maps. Some illustrative examples are discussed.

Submitted July 15, 2013 Published September 16, 2013.
Math Subject Classifications: 34B15, 34A60.
Key Words: n-th order differential inclusions; fixed point theorem; nonlocal integral boundary conditions

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Bashir Ahmad
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
email: bashirahmad_qau@yahoo.com
Sotiris K. Ntouyas
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece.
(NAAM)-Research Group at King Abdulaziz University
Jeddah, Saudi Arabia
email: sntouyas@uoi.gr
Hamed H. Alsulami
Department of Mathematics, Faculty of Science
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
email: hamed9@hotmail.com

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