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Solvability of Functional Integral Equations in the Frechet Space C (Omega)
Journal article   Peer reviewed

Solvability of Functional Integral Equations in the Frechet Space C (Omega)

Latifa Benhamouche and Smail Djebali
Mediterranean journal of mathematics, Vol.13(6), pp.4805-4817
01/12/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This work deals with the existence of solutions for a class of nonlinear functional integral equations of Volterra type in the Fr,chet space of continuous functions on an unbounded subset of . The equation was considered by Arab et al. (J Math 13(3):1197-1210, 2015). By choosing a different functional space and a different fixed point theorem in conjunction with some measures of noncompactness, we show that existence of continuous solutions can be proved under weaker conditions.

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