A General Converse Comparison Theorem for Backward Stochastic Differential Equation with Non-lipschitz Coefficient  

A General Converse Comparison Theorem for Backward Stochastic Differential Equation with Non-lipschitz Coefficient

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作  者:LU Min WANG Zeng-wu 

机构地区:[1]Deparmtment of Applied Mathematics, Nanjing Audit University, Nanjing 210029, China [2]Academy of Math and System Sciences, CAS, Beijing 100080, China

出  处:《Chinese Quarterly Journal of Mathematics》2009年第4期568-573,共6页数学季刊(英文版)

基  金:Foundation item: Supported by the'Natured Science Foundation of the Edudation Department of Jiangsu Province(06KJD110092)

摘  要:In this article, we first introduce g-expectation via the solution of backward stochastic differential equation(BSDE in short) with non-Lipschitz coefficient, and give the properties of g-expectation, then we establish a general converse comparison theorem for backward stochastic differential equation with non-Lipschitz coefficient.

关 键 词:backward stochastic differential equation with non-Lipschitz coefficient GENERATOR G-EXPECTATION converse comparison theorem. 

分 类 号:O211.6[理学—概率论与数理统计] O211.63[理学—数学]

 

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