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Scholars Journal of Physics, Mathematics and Statistics | Volume-8 | Issue-06
The Existence of Pullback Attractors for Non-autonomous Stochastic Plate Equations with Linear Memory
Tieyuan Zhang, Xianyun Du
Published: June 3, 2021 | 128 82
DOI: 10.36347/sjpms.2021.v08i06.001
Pages: 105-117
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Abstract
Consider the existence of a non-autonomous two-dimensional stochastic plate equation with linear memory term pullback the attractor on . Apply the Ornstein-Uhlenbeck process to deal with the random term, transform the original equation into a deterministic equation containing random variables, and then estimate its consistency by replacing the system solution with variables, and prove that the random dynamic system corresponding to the original system equation pullback the absorption set Existence, and finally proves the system's pullback asymptotically compaction , which leads to the existence of the pullback attractor of the original system.