在Braind,Coquet,Hu,Mémin,Peng[1],Coquet,Hu,Mémin,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.