(μ, ν)-Pseudo almost automorphic solutions for some non-autonomous differential equations-Reference-Cited by-同舟云学术

(μ, ν)-Pseudo almost automorphic solutions for some non-autonomous differential equations

Published:2015-10 Issue:11 Volume:26 Page:1550090
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Ait Dads El Hadi¹²,Ezzinbi Khalil¹²,Miraoui Mohsen³

Affiliation:

1. Département de Mathématiques, Faculté Des Sciences Semlalia, Université Cadi Ayyad, B. P. 2390, Marrakech, Morocco

2. UMMISCO UMI 209, UPMC, IRD Bondy, France, Unité Associée, au CNRST URAC 02, Morocco

3. Institut Préparatoire aux Études d'Ingénieurs de Kairouan, Kairouan, Tunisie

Abstract

The aim of this work is to study the new concept of the (μ, ν)-pseudo almost automorphic functions for some non-autonomous differential equations. We suppose that the linear part has an exponential dichotomy. The nonlinear part is assumed to be (μ, ν)-pseudo almost automorphic. We show some results regarding the completness and the invariance of the space consisting in (μ, ν)-pseudo almost automorphic functions. Then we propose to study the existence of (μ, ν)-pseudo almost automorphic solutions for some differential equations involving reflection of the argument.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15500901

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