Results 41 to 50 of about 227 (172)
Estimation in models driven by fractional brownian motion [PDF]
, 2008 Classification: 60F05; 60G15; 60G18; 60H10; 62F03; 62F12; 33C45International audienceLet $\{b_{H}(t), t\in \mathbb R\}$ be the fractionalBrownian motion with parameter $0 In different particular models where $\sigma(x)=\sigma$ or $\sigma(x)=\sigma \, x ...
Berzin, Corinne +2 more
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Open MathematicsThis article can be considered as a continuation of Petrović and Milošević [The truncated Euler-Maruyama method for highly nonlinear neutral stochastic differential equations with time-dependent delay, Filomat 35 (2021), no.
Petrović Aleksandra M.
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Approximations of center manifolds for delay stochastic differential equations with additive noise
Advances in Nonlinear Analysis, 2023 This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{
Wu Longyu +3 more
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Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 103-116, 2002., 2002 We show a simple method to discretize Pardoux‐Peng′s nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi‐linear PDEs.
Yinnan Zhang, Weian Zheng
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A Haussmann‐Clark‐Ocone formula for functionals of diffusion processes with Lipschitz coefficients
International Journal of Stochastic Analysis, Volume 15, Issue 4, Page 357-370, 2002., 2002 We establish a martingale representation formula for functionals of diffusion processes with Lipschitz coefficients, as stochastic integrals with respect to the Brownian motion.
Khaled Bahlali +2 more
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Periodic solutions to Mckean–Vlasov SDEs under Lyapunov conditions
Advances in Nonlinear AnalysisIn this article, we investigate the existence of periodic solutions to McKean–Vlasov stochastic differential equations subject to periodic Lyapunov conditions with distributional dependence.
Ma Jun, Ji Shuguan
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 The subject of this paper is an analytic approximate method for a class of stochastic functional differential equations with coefficients that do not necessarily satisfy the Lipschitz condition nor linear growth condition but they satisfy some polynomial
Djordjević Dušan D. +1 more
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On the notion of L 1‐completeness of a stochastic flow on a manifold
Abstract and Applied Analysis, Volume 7, Issue 12, Page 627-635, 2002., 2002 We introduce the notion of L 1‐completeness for a stochastic flow on manifold and prove a necessary and sufficient condition for a flow to be L 1‐complete. L 1‐completeness means that the flow is complete (i.e., exists on the given time interval) and that it belongs to some sort of L 1‐functional space, natural for manifolds where no Riemannian metric ...
Yu. E. Gliklikh, L. A. Morozova
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The Law of the Euler scheme for stochastic differential equations : I. convergence rate of the distribution function [PDF]
, 1994 We study the approximation problem of $\ee f(X_T)$ by $\ee f(X_T^n)$, where $(X_t)$ is the solution of a stochastic differential equation, $(X^n_t)$ is defined by the Euler discretization scheme with step $\fracTn$,and $f$ is a given function. For smooth
Talay, Denis, Bally, Vlad
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BSDE associated with Lévy processes and application to PDIE
, 2003 International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 1-17, 2003.
K. Bahlali, M. Eddahbi, E. Essaky
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