Research
Communication | Open Access
Volume 2022 | Communication ID 538
Volume 2022 | Communication ID 538
On the asymptotic behavior of some functional differential equations |
Zakaria Zizi, Samir Fatajou, El Hadi Ait Dads
Received |
Accepted |
Published |
May 15, 18:05 |
July 01, 2022 |
July 15, 2022 |
Abstract: In this work, we provide sufficient conditions ensuring the existence and uniqueness of an Eberlein-weakly almost periodic solution for some functional differential equations in Banach space when the forcing term in only Eberlein-weakly almost periodic in a weaker sense, namely, the Stepanov sense. Then, we trait the almost periodic case. Our results continue the investigations done in the literature about the existence of almost periodic and almost automorphic solutions. The theoretical results are then applied to some model occurring from physics.