The periodic measures of the stochastic delay reaction-diffusion lattice systems are
investigated. Under a general condition, we prove the existence of periodic measures when …

In this paper, we investigate the existence of almost periodic solutions for fractional
impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The …

This book lays the foundations for a theory on almost periodic stochastic processes and their
applications to various stochastic differential equations, functional differential equations with …

The concept of square-mean almost automorphy for stochastic processes is introduced. The
existence and uniqueness of square-mean almost automorphic solutions to some linear and …

We introduce the concepts of Poisson square-mean almost automorphy and almost
automorphy in distribution. Under suitable conditions on the coefficients, we establish the …

Full article: Existence of almost periodic solutions to some stochastic differential equations Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

We study the validity of an averaging principle for a slow-fast system of stochastic reaction-
diffusion equations. We assume here that the coefficients of the fast equation depend on …

The paper is dedicated to studying the problem of Poisson stability (in particular stationarity,
periodicity, quasi-periodicity, Bohr almost periodicity, Bohr almost automorphy, Birkhoff …

An averaging result is proved for stochastic evolution equations with highly oscillating
coefficients. This result applies in particular to equations with almost periodic coefficients …

In this work, we establish a new concept of pseudo almost periodic processes in p-th mean
sense using the measure theory. We use the μ-ergodic process to define the spaces of μ …