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 78
Periodic solutions of Random nonlinear evolution inclusion in Banach spaces
Oum Kelthoum Bellaoui, Abdelghani Ouahab, Abdessalam Baliki
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 03, 2022
March 03, 2075
April 15, 2075

Abstract: In this paper, we present the existence results of random integral solutions of random periodic multivalued problems of the form -x'(ω, t)ϵA(ω)x(ω,t)+F(ω, t, x(ω, t)), tϵ T:=[0, b], x(ω, 0)=x(ω, b), ωϵΩ. Where for every ωϵΩ, A(ω)is an m-accretive operator in a refexive Banach space X and F : Ω x T x X → P(X) is a random multivalued map(perturbation). In our work, we study three results of existence. First, when the multivalued nonlin- earity is convex-valued, the second result when the multivalued is nonconvex-valued and finally, we study the existence for the set of ...