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pro vyhledávání: '"Soufiane Mouchtabih"'
Publikováno v:
Proceedings of the American Mathematical Society. 149:3583-3596
Let X X be the solution of a stochastic differential equation in Euclidean space driven by standard Brownian motion, with measurable drift and Sobolev diffusion coefficient. In our main result we show that when the drift is measurable and the diffusi
Autor:
Brahim Boufoussi, Soufiane Mouchtabih
Publikováno v:
Random Operators and Stochastic Equations. 28:281-290
Using the coupling method and Girsanov theorem, we prove a Harnack-type inequality for a stochastic differential equation with non-Lipschitz drift and driven by a fractional Brownian motion with Hurst parameter H < 1 2 {H . We also investigate this i
Publikováno v:
Electronic Journal of Probability. 27
Publikováno v:
Stochastics and Dynamics. 22
We consider a system of semilinear partial differential equations (PDEs) with measurable coefficients and a nonlinear Neumann boundary condition. We then construct a sequence of penalized PDEs, which converges to our initial problem. Since the coeffi
Publikováno v:
Statistics & Probability Letters. 182:109302
This erratum corrects an error in the proof of Theorem 2 in our paper (Bahlali et al., 2019). The main results of the paper remain true as stated.
Publikováno v:
Afrika Matematika. 29:575-589
Using the method of Girsanov transformation, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution of fractional stochastic functional differential equations driven by fractional Brownian
Autor:
Soufiane Mouchtabih, Brahim Boufoussi
Publikováno v:
Evolution Equations & Control Theory. 10:921
In this article we investigate the controllability for neutral stochastic functional integro-differential equations with finite delay, driven by a fractional Brownian motion with Hurst parameter lesser than $1/2$ in a Hilbert space. We employ the the
Publikováno v:
Statistics and Probability Letters
Statistics and Probability Letters, Elsevier, 2019, 155, pp.108586-. ⟨10.1016/j.spl.2019.108586⟩
Statistics and Probability Letters, Elsevier, 2019, 155, pp.108586-. ⟨10.1016/j.spl.2019.108586⟩
International audience; We prove that probability laws of a backward stochastic differential equation, satisfy a quadratic transportation cost inequality under the uniform metric. That is, a comparison of the Wasserstein distance from the law of the