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连续鞅驱动的倒向随机微分方程的弱解

The Weak Solution for Backward Stochastic Differential Equations Driven by Continuous Martingale
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摘要 本文给出了由连续鞅驱动的倒向随机微分方程弱解的定义,得到其弱解存在的充分条件,减弱了漂移系数g满足Lipschitz条件的要求. In this paper,we give the definition of weak solution for backward stochastic differential equations driven by continuous martingale,then we get a sufficient condition ensuring the existence of the weak solution and replace the lipschitz requirment on drift coefficient g by a weaker condition.
作者 丁亮
出处 《应用数学》 CSCD 北大核心 2007年第S1期65-67,共3页 Mathematica Applicata
关键词 倒向随机微分方程 弱解 漂移变换 广义逆 Backward stochastic differential equation Weak solution Drift transformation Generalized inverse
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  • 1Shige Peng. Backward stochastic differential equations and applications to optimal control[J] 1993,Applied Mathematics & Optimization(2):125~144
  • 2D. Nualart,E. Pardoux. Stochastic calculus with anticipating integrands[J] 1988,Probability Theory and Related Fields(4):535~581

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