Abstract: The author uses comparison theorem for stochastic differential equations to explore the limit behavior of one-dimentional discontinuous dynamical system with small random perturbations.

Key words: stochastic differential equations, comparison theorem, weak convergence

摘要： 作者利用随机微分方程的比较定理，确定间断动力系统在小随机扰动下的极限分布。

关键词: 随机微分方程, 比较定理, 弱收敛