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倒向随机微分方程弱解(英)
引用本文:林清泉.倒向随机微分方程弱解(英)[J].应用概率统计,2002,18(2):205-208.
作者姓名:林清泉
作者单位:中国人民大学财政金融学院,北京,100872
基金项目:Work supported by China Financial Policy Research Center, Renmin University of China.
摘    要:引入倒向随机微分方程弱解的概念,应用Girsanov变换,建立了两类倒向随机微分方程(0.1)和(0.2)弱解存在的等价性,由此得到倒向 随机微分方程弱解存在的几个充分条件。

关 键 词:倒向随机微分方程  弱解    Girsanov变换

The Weak Solution For Backward Stochastic Differential Equations
QINGQUAN LIN.The Weak Solution For Backward Stochastic Differential Equations[J].Chinese Journal of Applied Probability and Statisties,2002,18(2):205-208.
Authors:QINGQUAN LIN
Abstract:In this paper we introduce the notion of weak solution for Backward Stochastic Differential Equation:By Girsanov transformation, we estabilish the equivalence of existence of weak solutions for equation (0.1) andthat of equation:The result in 3] is a corollary of this conclusion. We obtain several sufficient conditions for existence of weaksolutions.
Keywords:: Barkward Stochastic Differential Equation  weak solution  martingale  Cirsanov transforma-tion    
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