In this paper, a new monotonic limit theorem for regulated processes is developed, from that proved by Peng (1999). This theorem is a useful tool to prove the existence theorem of reflected backward stochastic differential equation when the barrier has regulated trajectories (not necessarily right-continuous) by means of penalization method.

中文翻译：

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具有规则轨迹的BSDE的单调极限定理

本文从Peng（1999）证明的观点出发，为调节过程开发了一个新的单调极限定理。该定理是一种有用的工具，可以证明当障碍物通过罚分法调节了轨迹（不一定是右连续）时，反映了倒向随机微分方程的存在性定理。