论文标题

非自主随机动力学系统的几乎周期性和周期性

Almost periodicity and periodicity for nonautonomous random dynamical systems

论文作者

de Fitte, Paul Raynaud

论文摘要

我们提出了几乎周期性的概念,可以应用于希尔伯特空间中的随机动力学系统以及几乎周期性的随机微分方程(抽象随机的部分微分方程)。该概念可以改善分布几乎周期性,一般随机过程以及用于随机微分方程的解决方案的已知结果。

We present a notion of almost periodicity wich can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract stochastic partial differential equations). This concept allows for improvements of known results of almost periodicity in distribution, for general random processes and for solutions to stochastic differential equations.

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