Paper Title:

On the Existence of Solutions for Functional Integral Inclusions

Author(s):

Y. Khouni and M. Denche

Faculty of Nature and Life Sciences,
University of Batna 2,
53 Road of constantine,
Fesdis,
Batna - 05078,
Algeria.
E-mail: y.khouni@univ-batna2.dz

 
Laboratoire Equations Differentielles,
Departement de Mathematiques, Faculte des Sciences Exactes,
Universite Freres Mentouri, Constantine 1,
25000 Constantine,
Algeria.
E-mail: m.denche@umc.edu.dz
 

Abstract:

In this paper, we study the sufficient conditions for the existence of compact sets of solutions for a class of functional integral inclusions, that are based on a fixed point theorem of Dhage, we also give the existence of integrable solutions by using the nonlinear alternative of Leray-Schauder. An illustrative examples and applications are given in the end of this paper.

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