Asymptotic Expansion and Weak Approximation for a Stochastic Control Problem on Path Space. [PDF]
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ESAIM: Probability and Statistics, 2020In 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 ...
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SIAM Journal on Numerical Analysis, 2005The 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.
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