DYNAMICS FOR DELAY PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON UNBOUNDED DOMAINS

Xiaobin Yao; Yang Bai

doi:10.11948/20240119

2025 Volume 15 Issue 1

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Xiaobin Yao, Yang Bai. DYNAMICS FOR DELAY PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 442-469. doi: 10.11948/20240119

Citation:

Xiaobin Yao, Yang Bai. DYNAMICS FOR DELAY PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 442-469. doi: 10.11948/20240119

DYNAMICS FOR DELAY PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON UNBOUNDED DOMAINS

Xiaobin Yao^1, ,,
Yang Bai^1,

1.
School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, Qinghai, China

Author Bio: Email: 1476812351@qq.com(Y. Bai)
Corresponding author: Email: yaoxiaobin2008@163.com(X. Yao)
Fund Project: The authors were supported by the Natural Science Foundation of Qinghai Province (No. 2024-ZJ-931) and the National Natural Science Foundation of China (No. 12161071)

Abstract

Abstract

This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by multiplicative noise in $ \mathbb{R}^n $. First of all, we obtain the uniform compactness of pullback random attractors of the problem, then derive the upper semi-continuity of the attractors.
- Random attractor /
- delay equation /
- asymptotical compactness /
- upper semicontinuity
MSC: 60H15, 34C35, 58F11, 58F36

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