Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping

Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B. Wang, we investigate existence of pullback attractors for the non-autonomous stoch...

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Main Author: Xiaobin Yao
Format: Article
Language:English
Published: AIMS Press 2020-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020169/fulltext.html
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author Xiaobin Yao
author_facet Xiaobin Yao
author_sort Xiaobin Yao
collection DOAJ
description Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B. Wang, we investigate existence of pullback attractors for the non-autonomous stochastic plate equations with multiplicative noise defined in the entire space $\mathbb{R}^n$.
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spelling doaj.art-5c73010198754e2abcc6aaf4a33865de2022-12-22T01:42:04ZengAIMS PressAIMS Mathematics2473-69882020-03-01532577260710.3934/math.2020169Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear dampingXiaobin Yao0School of Mathematics and Statistics, Qinghai Nationalities University, Xi’ning, Qinghai, 810007, ChinaBased on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B. Wang, we investigate existence of pullback attractors for the non-autonomous stochastic plate equations with multiplicative noise defined in the entire space $\mathbb{R}^n$.https://www.aimspress.com/article/10.3934/math.2020169/fulltext.htmlpullback attractors; plate equation; unbounded domains; multiplicative white noise
spellingShingle Xiaobin Yao
Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
AIMS Mathematics
pullback attractors; plate equation; unbounded domains; multiplicative white noise
title Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
title_full Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
title_fullStr Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
title_full_unstemmed Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
title_short Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping
title_sort random attractors for non autonomous stochastic plate equations with multiplicative noise and nonlinear damping
topic pullback attractors; plate equation; unbounded domains; multiplicative white noise
url https://www.aimspress.com/article/10.3934/math.2020169/fulltext.html
work_keys_str_mv AT xiaobinyao randomattractorsfornonautonomousstochasticplateequationswithmultiplicativenoiseandnonlineardamping