时滞随机系统最高阶偏导数不变测度的存在性
Existence of Invariant Measures of Stochastic Systems with Delay in the Highest Order Partial Derivatives
摘要：
本文考虑一类无穷维随机时滞泛函微分方程的不变测度的存在性，其驱动半群是最终范数连续的。所得到的结果被应用到随机热方程的分布延迟出现在这样的条款具有最高阶偏导数。在这类系统中，相关的驱动半群一般是非最终紧的。
英文摘要：
In this note, we shall consider the existence of invariant measures for a class of infinite dimensional stochastic functional differential equations with delay whose driving semigroup is eventually norm continuous. The results obtained are applied to stochastic heat equations with distributed delays which appear in such terms having the highest order partial derivatives. In the systems, the associated driving semigroups are generally non eventually compact.
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