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In this article, we address the dynamics and bifurcations of a wide class of stochastic differential equations around singular points where both the drift and diffusion functions vanish. We apply thes...
The existence and uniqueness for solution of backward doubly stochastic differential equations with Brownian motions and Poisson process and that of forward-backward doubly stochastic differential equ...
A type of forward-backward doubly stochastic differential equations (FBDSDEs) is studied. Under some natural monotonicity assumptions, the existence and uniqueness result is established.
Exploring functional analysis methods, this paper gives an existence theorem of strong solutions for a class of backward stochastic differential equations(BSDEs) with left-Lipschitz coefficients (may ...
Abstract: In this paper we consider stochastic differential equations with non-negativity constraints, driven by a fractional Brownian motion with Hurst parameter $H>\1/2$. We first study an ordinary ...
Abstract: We introduce and develop a pathwise description of the dissipation of general convex entropies for continuous time Markov processes, based on simple backward martingales and convergence theo...
Abstract: This paper extends the idea of E.Gobet, J.P.Lemor and X.Warin from the setting of Backward Stochastic Differential Equations to that of Backward Doubly Stochastic Differential equations. We ...
Stemmed from the derivation of the optimal control to a stochastic linearquadratic control problem with Markov jumps, we study one kind of backward stochastic differential equations (BSDEs) that the g...

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