31 citations · 46 across the 4 of their papers we have counts for
5 papers
Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients
Fazia Bedouhene, Youcef Ibaouene, Omar Mellah +1
In this work, we study the existence and uniqueness of bounded Weyl almost periodic solution to the abstract differential equation u ' (t) = Au(t) + f (t), t R, in a Banach s…
Almost periodic solution in distribution for stochastic differential equations with Stepanov almost periodic coefficients
Fazia Bedouhene, Nouredine Challali, Omar Mellah +2
This paper deals with the existence and uniqueness of (-pseudo) almost periodic mild solution to some evolution equations with Stepanov (-pseudo) almost periodic coefficients…
Almost automorphy and various extensions for stochastic processes
Fazia Bedouhene, Nouredine Challali, Omar Mellah +2
We compare different modes of pseudo almost automorphy and variants for stochastic processes: in probability, in quadratic mean, or in distribution in various senses. We show by a…
Weak Averaging of Semilinear Stochastic Differential Equations with Almost Periodic Coefficients
Mikhail Kamenski, Omar Mellah, Paul Raynaud de Fitte
An averaging result is proved for stochastic evolution equations with highly oscillating coefficients. This result applies in particular to equations with almost periodic coefficie…
Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
Omar Mellah, Paul Raynaud De Fitte
We show that, contrarily to what is claimed in some papers, the nontrivial solutions of some stochastic differential equations with almost periodic coefficients are never mean squa…