独特性
数学
常微分方程
吸引子
偏微分方程
有色的
噪音的颜色
操作员(生物学)
噪音(视频)
数学分析
应用数学
微分方程
计算机科学
统计
白噪声
人工智能
生物化学
材料科学
化学
图像(数学)
抑制因子
转录因子
复合材料
基因
标识
DOI:10.1186/s13661-023-01715-4
摘要
Abstract This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on $\mathbb{R}^{n}$ Rn . First, we prove the well-posedness of the equation in the natural energy space. Secondly, we define a continuous cocycle associated with the solution operator. Finally, we establish the existence and uniqueness of random attractors of the equation by the uniform tail-ends estimates methods and the splitting technique.
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