标题： 随机微分延迟方程数值方法的均方指数稳定性 显示英文标题

标题： Mean square exponential stability of numerical methods for stochastic differential delay equations

摘要： $\theta$-EM和修正截断欧拉-马尤拉方法（MTEM）对于随机微分延迟方程（SDDEs）的均方指数稳定性在本文中被研究。 我们提出了SDDEs的$\theta$-EM和MTEM方法的均方指数稳定性的新准则，这些准则与大多数在Khasminskii型条件下的现有结果不同。 提供了两个例子来支持我们的结论。 显示英文摘要

摘要： Mean square exponential stability of $\theta$-EM and modified truncated Euler-Maruyama (MTEM) methods for stochastic differential delay equations (SDDEs) are investigated in this paper. We present new criterion of mean square exponential stability of the $\theta$-EM and MTEM methods for SDDEs, which are different from most existing results under Khasminskii-type conditions. Two examples are provided to support our conclusions.