Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Levy noise
We investigate a class of stochastic integro differential equations driven by Levy noise.
math.PR↗
arXiv subjects
Solym Mawaki Manou-Abi
Publications and source records attributed to Solym Mawaki Manou-Abi.
Rate of convergence to alpha stable law using Zolotarev distance : technical report
This paper considers the question of the rate of convergence to $α$- stable laws, using arguments based on the Zolotarev distance to prove bounds. We provide a rate of convergence to $α$-stable random variable where 1 < $α$ < 2, in the generalized CLT, that is, for the partial sums of independent identically distributed random variables which are not assumed to be square integrable. This work is a technical report based on the Zolotarev paper in [1].
math.PR↗
On the p-th mean S-asymptotically omega periodic solution for some Stochastic Evolution Equation driven by Q-Brownian motion
In this paper, we make a slight contribution about the existence (uniqueness) and asymptotic stability of the p-th mean S-asymptotically omega-periodic solutions for some nonautonomous Stochastic Evolution Equations driven by a Q-Brownian motion. This is done using the Banach fixed point Theorem and a Gronwall inequality.
math.PR↗
S-asymptotically omega-periodic solution for a nonlinear differential equation with piecewise constant argument via S-asymptotically omega-periodic functions in the Stepanov sense
In this paper, we show the existence of function which is not S-asymptotically omega-periodic, but which is S-asymptotically omega-periodic in the Stepanov sense. We give sufficient conditions for the existence and uniqueness of S-asymptotically omega-periodic solutions for a nonautonomous differential equation with piecewise constant argument in a Banach space when omega is an integer. This is done using the Banach fixed point Theorem. An example involving the heat operator is discussed as an illustration of the theory.
math.AP↗