Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 342
Stepanov-Eberlein-weakly almost periodic functions and applications to some differential equations with nondense domain
Zakaria Zizi, Samir Fatajou, El Hadi Ait Dads
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2293
April 15, 2293

Abstract: In this manuscript, we use Eberlein-weakly almost periodic functions with two variable in the Stepanov sense and we give a composition result. Using Banach fixed-point theorem and the obtained composition principle, we prove the existence and uniqueness of Eberlein- weakly almost periodic solution for some partial differential equation of neutral type with nondense domain when the forcing terms are assumed to be Eberlein-weakly almost periodic in a weaker sense, namely, the Stepanov sense. Our results extend previous several works. Some examples are given for illustration.