Almost periodicity and periodicity for nonautonomous random dynamical systems

被引：9
作者：
de Fitte, Paul Raynaud [1 ]
机构：
[1] Normandie Univ, Lab Raphael Salem, UMR CNRS 6085, Rouen, France
来源：
STOCHASTICS AND DYNAMICS | 2021年 / 21卷 / 06期
关键词：
Metric dynamical system; random dynamical system; crude cocycle; nonautonomous dynamical system; stochastic partial differential equation; almost periodic; DIFFERENTIAL-EQUATIONS;
D O I：
10.1142/S0219493721500349
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We present a notion of almost periodicity which 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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页数：34
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