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中文摘要：
本文针对一般的非线性随机延迟微分方程，证明了当系统理论解满足均方稳定性条件时，则当方程的漂移和扩散项满足一定的条件时，Milstein方法也是均方稳定的,数学实验进一步验证了我们的结论．
英文摘要：
We investigated the mean-square stability of Milstein method for nonlinear sto-chastic delay differential equations. When the analytical solution satisfies the conditions of mean-square stability,and if the drift term and diffusion term satisfy some restrictions,then the Milstein method is mean-square stable. This is also verified by several numerical exam- pies.
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Solutions of the Boltzmann equation with infinite energy: Existence, stability and long time behavio
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