O. K. Bellaou, A. Baliki, J. Henderson and A. Ouahab
Periodic Solutions of Random Nonlinear Evolution Inclusions in Banach Space
Dynamic Systems and Applications 31 (2022) No.4, 265-282

https://doi.org/10.46719/dsa202231.04.04

ABSTRACT.
In this work, we investigate the existence of random integral solutions for convex and non-convex evolution differential inclusions with periodic conditions. Also, we give the random version of Bader’s fixed point theorem. The existence results are established by means of random fixed point theory. Finally, an example is given to illustrate the result..

AMS (MOS) Subject Classification. 47H10, 47H30, 54H25.
Key Words and Phrases. Evolution inclusion, random integral solution, periodic problem,
m-accretive operator, multivalued map, continuous selection.