Electron. J. Diff. Equ., Vol. 2015 (2015), No. 116, pp. 1-12.

Existence and uniqueness of positive almost periodic solutions for systems of nonlinear delay integral equations

Abdellatif Sadrati, Abderrahim Zertiti

Abstract:
This article shows the existence and uniqueness of positive almost periodic solutions for some systems of nonlinear delay integral equations. After constructing a new fixed point theorem in the cone, which extend some existing results even in the case of scalar version, we apply it to a model of the evolution in time of two species in interaction.

Submitted November 25, 2014. Published April 28, 2015.
Math Subject Classifications: 45G10, 45G15.
Key Words: Almost periodic solutions; nonlinear delay integral systems; iterative sequences.

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Abdellatif Sadrati
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: abdo2sadrati@gmail.com
Abderrahim Zertiti
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: abdzertiti@hotmail.fr

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