拉回吸引子
数学
乘性噪声
拉回
乘法函数
紧凑空间
有界函数
应用数学
拉普拉斯算子
随机动力系统
吸引子
Bochner空间
随机游动
噪音(视频)
离散数学
数学分析
纯数学
巴拿赫空间
计算机科学
统计
线性系统
埃伯林-Šmulian定理
图像(数学)
信号传递函数
人工智能
线性动力系统
数字信号处理
Lp空间
模拟信号
计算机硬件
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2021-04-02
卷期号:27 (3): 1695-1695
被引量:2
标识
DOI:10.3934/dcdsb.2021107
摘要
<p style='text-indent:20px;'>This paper is concerned with the pullback random attractors of nonautonomous nonlocal fractional stochastic <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</tex-math></inline-formula>-Laplacian equation with delay driven by multiplicative white noise defined on bounded domain. We first prove the existence of a continuous nonautonomous random dynamical system for the equations as well as the uniform estimates of solutions with respect to the delay time and noise. We then show pullback asymptotical compactness of solutions and the existence of tempered random attractors by utilizing the Arzela-Ascoli theorem and appropriate uniform estimates of the solutions. Finally, we establish the upper semicontinuity of the random attractors when time delay approaches zero.</p>
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