Measurable weighted shadowing for random dynamical systems on Banach spaces

被引：3
|
作者：
Dragicevic, Davor [1 ]
Zhang, Weinian [2 ]
Zhou, Linfeng [2 ]
机构：
[1] Univ Rijeka, Fac Math, Rijeka, Croatia
[2] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 392卷
基金：
国家重点研发计划;
关键词：
Random dynamical system; Tempered exponential dichotomy; Measurable weighted shadowing; Measurable admissibility; Infinite dimension; TEMPERED EXPONENTIAL DICHOTOMIES; HYERS-ULAM STABILITY; INVARIANT-MANIFOLDS; LYAPUNOV EXPONENTS; ADMISSIBILITY; ROUGHNESS; LEMMA;
D O I：
10.1016/j.jde.2024.02.052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the unique weighted measurable shadowing property for weighted pseudo -orbits of random systems on Banach spaces with the property that linear part of random system admits a tempered exponential dichotomy. We also prove for linear random systems that the tempered exponential dichotomy is necessary for the unique weighted measurable shadowing property to hold. (c) 2024 Elsevier Inc. All rights reserved.
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页码：364 / 386
页数：23
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