Bilal Boulfoul, Azzeddine Bellour, Smail Djebali
Abstract:
This article concerns nonlinear functional integral equations of
product type. The first two equations set on a the positive half-axis
encompass different classes of nonlinear integral equations and may
involve the product of finitely many integral functions.
The existence of integrable solutions is based on improved versions of
Krasnoselskii's fixed point theorem combined with techniques of measure
of weak noncompactness and some elements from functional analysis.
The third one is an integro-differential equation set on a bounded
interval, for which the existence of absolutely continuous solutions
is provided. Examples show the applicability of our results.
Submitted July 21, 2017. Published January 15, 2018.
Math Subject Classifications: 45D05, 45G10, 47H08, 47H09, 47H10, 47H30.
Key Words: Product integral equation; measure of weak noncompactness;
strict gamma-contraction; Krasnoselskii's fixed point theorem;
Caratheodory's conditions; (ws)-compact; integrable solution;
absolutely continuous solution.
Show me the PDF file (304 KB), TEX file for this article.
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Bilal Boulfoul Department of Mathematics ESSA, Algiers, Algeria email: bilal_maths@hotmail.com |
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Azzeddine Bellour Department of Mathematics ENS Constantine, Algeria email: bellourazze123@yahoo.com |
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Smail Djebali Department of Mathematics faculty of Sciences Al Imam Mohammad Ibn Saud Islamic University (IMSIU) P.O. Box 90950, Riyadh 11623, Saudi Arabia. email: djebali@hotmail.com |
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