随机时滞退化抛物方程的高阶鲁棒吸引子

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2022-06-02 DOI:10.1080/07362994.2022.2080706

Qiangheng Zhang

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引用次数: 1

摘要

摘要研究了变时滞随机退化抛物方程在高阶空间上的拉回随机吸引子的存在性、可测性和随时间变化的性质，该方程分别定义在X, Z为平方可积空间和p倍(p > 2)可积空间上。首先证明了具有和的唯一的回拉随机吸引子的存在性，建立了双空间吸引子在高阶空间上的前向紧致性、可测性和长时间稳定性，然后进一步研究了高阶无延迟稳定性，更准确地说，在拓扑下的上半连续性随着记忆时间趋于零。

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Higher-order robust attractors for stochastic retarded degenerate parabolic equations

Abstract We study the existence, measurability and time-dependent property of pullback random attractors in the higher-order space for stochastic degenerate parabolic equations with variable delay defined on Let X, Z be the square integrable space and the p-times (p > 2) integrable space, respectively. We first prove the existence of a unique pullback -random attractor with and and establish the forward compactness, measurability and long-time stability of the bi-spatial attractor in the higher-order space We then investigate the higher-order delay-free stability of in more precisely, the upper semicontinuity of under the topology of as the memory time tends to zero is established.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.