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.

引用

页码：364 / 386

页数：23

共 50 条

[21] Measurable multifunctions in nonseparable Banach spaces
Barcenas, D
Urbina, W
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (05) : 1212 - 1226
[22] MEASURABLE FUNCTIONS IN CONFIGURATIONS OF BANACH SPACES
SZEPTYCK.P
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 160 - &
[23] Weighted admissibility and wellposedness of linear systems in Banach spaces
Haak, Bernhard H.
Kunstmann, Peer Chr.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 45 (06) : 2094 - 2118
[24] WEIGHTED TOPOLOGICAL ENTROPY OF RANDOM DYNAMICAL SYSTEMS
Yang, Kexiang
Chen, Ercai
Lin, Zijie
Zhou, Xiaoyao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2025,
[25] RANDOM ATTRACTORS FOR SECOND ORDER STOCHASTIC LATTICE DYNAMICAL SYSTEMS WITH MULTIPLICATIVE NOISE IN WEIGHTED SPACES
Han, Xiaoying
STOCHASTICS AND DYNAMICS, 2012, 12 (03)
[26] Strong Limit Theorems for Weighted Sums of Random Elements in Banach Spaces
Nguyen Van Huan
Andrei Volodin
Lobachevskii Journal of Mathematics, 2020, 41 : 996 - 1003
[27] Strong Limit Theorems for Weighted Sums of Random Elements in Banach Spaces
Nguyen Van Huan
Volodin, Andrei
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (06) : 996 - 1003
[28] Measurable dynamical systems
Dooley, Anthony H.
Zhang, Guohua
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 233 (1099) : 15 - 25
[29] Random dynamical systems on ordered topological spaces
Kellerer, Hans G.
STOCHASTICS AND DYNAMICS, 2006, 6 (03) : 255 - 300
[30] Banach envelopes in symmetric spaces of measurable operators
Czerwinska, M. M.
Kaminska, A.
POSITIVITY, 2017, 21 (01) : 473 - 492

← 1 2 3 4 5 →