On the nonlinear delayed stochastic evolution equations driven by
Brownian motion
- Nadia Belmabrouk,
- Mondher Damak,
- Mohsen Miraoui
Mondher Damak
Université de Sfax Faculté des Sciences de Sfax
Author ProfileAbstract
In this paper, we present a new concept of measure-ergodic process to
define the space of measure pseudo almost periodic process in the p-th
mean sense. We show some results regarding the completness the
composition theorems and the invariance of the space consisting in
measure pseudo almost periodic process. Motivated by above mentioned
results, the Banach fixed point theorem and the stochastic analysis
techniques, we prove the existence, uniqueness and the global
exponential stability of doubly measure pseudo almost periodic mild
solution for a class of nonlinear delayed stochastic evolution equations
driven by Brownian motion in a separable real Hilbert space. We provide
an example to illustrate the effectiveness of our results.