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反射倒向随机微分方程的逆比较问题(Ⅰ) 被引量:2

Converse Comparison Problems for Reflected Backward Stochastic Differential Equations (I)
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摘要 在Briand,Coquet,Hu,Memin,Peng[1],Coquet,Hu,Memin,Peng[2],Chen[3],Jiang [8]等中,研究了倒向随机微分方程的逆比较定理,就是通过比较倒向随机微分方程的解来比较倒向随机微分方程的生成元问题.在文[9]中Li和Tang首次研究了反射倒向随机微分方程的逆比较问题.本文考虑在更一般的条件下,反射倒向随机微分方程的生成元的逆比较问题. In Briand, Coquet, Hu, Mémin, Peng [1], Coquet, Hu, Mémin, Peng [2], Chen [3], Jiang [8] etc., the authors investigate the converse comparison theorems for the backward stochastic differential equations (BSDEs). That means to compare the generators of BSDEs by comparing the solutions of BSDEs. In Li and Tang [9] they first study the converse comparison problems for the reflected backward stochastic differential equations (RBSDEs). This paper continues to consider the converse comparison problems for generators of RBSDEs under suitable conditions.
作者 李娟 谷艳玲
出处 《数学年刊(A辑)》 CSCD 北大核心 2007年第2期239-248,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10426022)资助的项目.
关键词 反射倒向随机微分方程 比较定理 逆比较定理 Reflected Backward Stochastic Differential Equations, ComparisonTheorem, Converse Comparison Theorem
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参考文献12

  • 1Briand P.,Coquet F.,Hu Y.,Mémin J.and Peng S.,A converse comparison theorem for BSDEs and related properties of g-expectation[J],Electron.Comm.Probab.,2000,5:101-117.
  • 2Coquet F.,Hu Y.,Mémin J.and Peng S.,A general converse comparison theorem for BSDEs[J],C.R.Acad.Sci.Paris.,2001,333:577-581.
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  • 9Li J.and Tang S.,Local strict comparison theorem and converse comparison theorems for Reflected Backward SDEs[ED/OL],Stocha.Proc.Appli.,Available online at http://dx.doi.org/10.1016/J.spa.2006.12.008.
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