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Xiao, H.B. (2010) Regularity and Finite Dimensionality of Attractor for Plate Equation on Rⁿ. Applied Mathematics and Mechanics, 31, 1453-1462.
https://doi.org/10.1007/s10483-010-1375-9

has been cited by the following article:

• TITLE: Dynamics of Plate Equations with Memory Driven by Multiplicative Noise on Bounded Domains

  AUTHORS: Mohamed Y. A. Bakhet, Abdelmajid Ali Dafallah, Jing Wang, Qiaozhen Ma, Fadlallah Mustafa Mosa, Ahmed Eshag Mohamed, Paride O. Lolika, Makur Mukuac Chinor

  KEYWORDS: Plate Equations, Random Attractors, Memory Term, Dynamical Systems

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.4, April 30, 2024

  ABSTRACT: This article examines the dynamics for stochastic plate equations with linear memory in the case of bounded domain. We investigate the existence of solutions and bounded absorbing set by using the uniform pullback attractors on the tails estimates, and the asymptotic compactness of the random dynamical system is proved by decomposition method, and then we obtain the existence of a random attractor.