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Comparaison et non-confluence des solutions d'equations differentielles stochastiques unidimensionelles。
In this paper we prove the pathwise uniqueness of solutions of a stochastic differential equation with a singular drift whiçh depends on time. Our method is of probabilistic nature, and it is...
We consider the one-dimensional stochastic equation for a continuous local martingale M with square variation {M) and measurable drift and diffusion coefficients b and F. The main purpose of this p...
We'consider the discrete penalization scheme, the projection and the Euler-Peano scheme for SDE's driven by general semimartingale on an orthant with oblique reflection. We prove that these schemes...
In this paper, motivated by [2], we derive necessary and suficient conditions for bounded and periodically correlated solutions to the system of equations described by ARMA(1, q) model.
This note is concerned with the existence of periodically correlated solutions for the PARMA(p,q) system where [, is a white noise and the varying wefficients r$h and 06 are periodic in n with peri...
Existence and Regularity of Solutions to a Stochastic Burgers-Type Equation
Spatial birth and death processes as solutions of stochastic equations .
We introduce the concept of a mild solution for the right Hudson-Parthasarathy quantum stochastic differential equation, prove existence and uniqueness results, and show the correspondence between our...
In 1971, Yamada and Watanabe showed that pathwise uniqueness holds for the SDE dX= sigma (X)dB when sigma takes values in the n-by-m matrices and satisfies |sigma (x)- sigma (y)| < |x-y|log(1/|x-y|)1/...
We deal with multidimensional backward stochastic differential equations (BSDE) with locally Lipschitz coefficient in both variables $ y,z $ and an only square integrable terminal data. Let $ L_N $ be...
This paper studies the oscillation and nonoscillation of solutions of a nonlinear stochastic delay differential equation, where the noise perturbation depends on the current state, and the drift depen...
The so-called complete convergence theorem we prove enable us to give in detail the weak limiting behavior of various functional of the underlying process including the asymptotic distribution of up...
This paper deals with the investigation of the solution of an unified fractional reaction-diffusion equation associated with the Caputo derivative as the time-derivative and Riesz-Feller fractional ...
The ane rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a divers...

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