Existence theory and qualitative properties of solutions to double delay integral equations

Azzeddine Bellour; El Hadi Ait Dads; Mahmoud Bousselsal

doi:10.14232/ejqtde.2013.1.56

Electronic Journal of Qualitative Theory of Differential Equations (Sep 2013)

Existence theory and qualitative properties of solutions to double delay integral equations

Azzeddine Bellour,
El Hadi Ait Dads,
Mahmoud Bousselsal

Affiliations

Azzeddine Bellour: Department of Mathematics, Ecole Normale Supérieure de Constantine, Constantine-Algeria
El Hadi Ait Dads: Département de Mathématiques, L.M.D.P. Université Cadi Ayyad, Faculté des Sciences Semlalia B.P. 2390 Marrakech, Morocco
Mahmoud Bousselsal: Laboratoire d'analyse nonlineaire et HM. Ecole Normale Superieure, Vieux Kouba, 16050, Algiers-Algeria

DOI: https://doi.org/10.14232/ejqtde.2013.1.56
Journal volume & issue: Vol. 2013, no. 56
pp. 1 – 23

Abstract

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In this work, we are concerned with nonlinear integral equations with two constant delays. According to the behavior of the data functions, existence and uniqueness results of measurable solution, exponentially stable solution, bounded solution and integrable solution are provided.

Published in Electronic Journal of Qualitative Theory of Differential Equations

ISSN: 1417-3875 (Online)
Publisher: University of Szeged
Country of publisher: Hungary
LCC subjects: Science: Mathematics
Website: http://www.math.u-szeged.hu/ejqtde/

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