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Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Existence of Integrable Solutions for a Functional Integral Inclusion

Author(s):

A.M.A. El-Sayed

Faculty of Science
Alexandria University
Alexandria, Egypt

amasayed@alexu.edu.eg

Nesreen F. M. El-Haddad

Faculty of Science
Damanhour University
Behera, Egypt

nesreen_fawzy20@yahoo.com

Abstract:

In this paper we concern with the nonlinear functional integral inclusion in the real line R. The existence of integrable solutions is studied under the assumptions that the set-valued function F has summable Caratheodory selection and measurable selection. We reformulate the functional integral inclusion according to these selections and study two cases of such problem.

Keywords

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