Original scientific paper

https://doi.org/10.3336/gm.49.2.12

Integrable solutions of a nonlinear integral equation related to some epidemic models

Azzeddine Bellour ; Department of Mathematics, Ecole Normale Superieure de Constantine, Constantine, Algeria , 25000, Constantine-Algeria
Mahmoud Bousselsal ; Department of Mathematics, Laboratoire d'EDP non linéaires, Ecole Normale Superieure, Vieux Kouba, 16050, Algiers-Algeria
Mohamed-Aziz Taoudi ; Université Cadi Ayyad, Centre Universitaire Kalaa des Sraghnas, Kalaa des Sraghnas, Morocco

Abstract

In this paper, we discuss the existence of integrable solutions for a nonlinear integral equation related to some epidemic models. The analysis uses the techniques of measures of noncompactness and relies on an improved version of the Krasnosel'skii fixed point theorem.

Keywords

Integral equations; measure of weak noncompactness; fixed point theorem; integrable solutions

Hrčak ID:

130892

URI

https://hrcak.srce.hr/130892

Publication date:

18.12.2014.

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