most citedForward-Backward Doubly Stochastic Differential Equations with Random Jumps and Stochastic Partial Differential-Integral Equations

2 citations · 2 across the 5 of their papers we have counts for

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5 papers

math.PR2010

A Kneser-type theorem for backward doubly stochastic differential equations

Yufeng Shi, Qingfeng Zhu

A class of backward doubly stochastic differential equations (BDSDEs in short) with continuous coefficients is studied. We give the comparison theorems, the existence of the maxima…

math.PR2010

A Class of Backward Doubly Stochastic Differential Equations with Discontinuous Coefficients

Qingfeng Zhu, Yufeng Shi

In this work the existence of solutions of one-dimensional backward dou- bly stochastic differential equations (BDSDEs in short) where the coefficient is left-Lipschitz in y (may b…

math.PR20102 cited

Forward-Backward Doubly Stochastic Differential Equations with Random Jumps and Stochastic Partial Differential-Integral Equations

Qingfeng Zhu, Yufeng Shi

In this paper, we study forward-backward doubly stochastic differential equations driven by Brownian motions and Poisson process (FBDSDEP in short). Both the probabilistic interpre…

math.PR2010

The Equivalence between Uniqueness and Continuous Dependence of Solution for BDSDEs

Qingfeng Zhu, Yufeng Shi

In this paper, we prove that, if the coefficient f = f(t; y; z) of backward doubly stochastic differential equations (BDSDEs for short) is assumed to be continuous and linear growt…

math.PR2010

Backward Doubly Stochastic Differential Equations with Jumps and Stochastic Partial Differential-Integral Equations

Qingfeng Zhu, Yufeng Shi

In this paper, we study backward doubly stochastic differential equations driven by Brownian motions and Poisson process (BDSDEP in short) with non-Lipschitz coefficients on random…