Electron. J. Differential Equations, Vol. 2021 (2021), No. 43, pp. 1-15.

Positive Stepanov-like almost automorphic solutions for systems of nonlinear delay integral equations

Abdellatif Sadrati, Abderrahim Zertiti

Abstract:
In this article we show the existence of positive Stepanov-like almost automorphic solutions for systems of nonlinear delay integral equations. To do this, we apply the well-known Guo-Krasnosel'skii fixed point theorem for cone expansion and compression.

Submitted October 4, 2019. Published May 25, 2021.
Math Subject Classifications: 45G15, 47H10, 47H30.
Key Words: Nonlinear delay integral system; fixed point in cone; Stepanov-like almost automorphic solution.
DOI: https://doi.org/10.58997/ejde.2021.43

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Abdellatif Sadrati
MSISI Laboratory, AM2CSI Group
Department of Mathematics, FST, Erracidia
University Moulay Ismaïl of Meknes, BP 509
Boutalamine, 52000, Errachidia, Morocco
email: abdo2sadrati@gmail.com
Abderrahim Zertiti
Department of Mathematics, Faculty of Sciences
University Abdelmalek Essaâdi, BP 2121
Tetouan, Morocco
email: abdzertiti@hotmail.fr

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