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Research Article Open access CC BY 4.0

The Existence of Random Attractor for Stochastic Suspension Bridge Equation

Xiao Bin Yao

Asian Research Journal of Mathematics · pp. 11–23 · Published 18 Jan 2020

10.9734/arjom/2020/v16i230172

Abstract

This paper is aimed at an extensible suspension bridge equation with additive noise and linear memory. For the suspension bridge equations without additive noise and memory, there are many classical results. However, the extensible suspension bridge equations with both additive noise and linear memory were not studied before. The object of this paper is to provide a result on the random attractor to the above problem using compactness translation theorem and decomposition technique.

Suspension bridge equations random attractors linear memory additive noise

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