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Multidimensional Backward Stochastic Differential Equations with Left-Lipschitz Coefficients

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A framework of BSDEs with stochastic Lipschitz coefficients

ESAIM: Probability and Statistics, 2020
In this paper, we suggest an effective technique based on random time-change for dealing with a large class of backward stochastic differential equations (BSDEs for short) with stochastic Lipschitz coefficients. By means of random time-change, we show the relation between the BSDEs with stochastic Lipschitz coefficients and the ones with bounded ...
O, Hun, Kim, Mun-Chol, Pak, Chol-Kyu
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Numerical Integration of Stochastic Differential Equations with Nonglobally Lipschitz Coefficients

SIAM Journal on Numerical Analysis, 2005
The paper investigates correct ways of discretization for stochastic differential equations (SDEs) with coefficients that are not bounded, and are only locally but not globally Lipschitz, on a fixed finite time horizon. A class of SDEs is considered with a Lyapunov function, which guarantees non-explosion.
G. N. Milstein, Michael V. Tretyakov
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Fractional anticipated BSDEs with stochastic Lipschitz coefficients

Random Operators and Stochastic Equations, 2018
Abstract In this paper, we deal with an anticipated backward stochastic differential equation driven by a fractional Brownian motion with Hurst parameter H ∈
Sow, Ahmadou Bamba, Diouf, Bassirou Kor
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Stochastic Integral Evolution Equations with Locally Monotone and Non-Lipschitz Coefficients

Frontiers of Mathematics, 2023
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Huang, Xiaomin, Hong, Wei, Liu, Wei
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Limit Theorems for Stochastic Variational Inequalities with Non-Lipschitz Coefficients

Potential Analysis, 2018
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Ren, Jiagang, Shi, Qun, Wu, Jing
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Backward Doubly Stochastic Differential Equations with Stochastic Non-Lipschitz Coefficients

Acta Mathematicae Applicatae Sinica, English Series
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Xu, Si-yan, Zhang, Yi-dong
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Anticipated backward stochastic differential equations with non-Lipschitz coefficients

Journal of Mathematical Chemistry, 2021
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Zhou, Huihui   +3 more
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