The Existence of Random Attractor for Stochastic Suspension Bridge Equation
Xiao Bin Yao *
School of Mathematics and Statistics, Qinghai Nationalities University, Xi'ning, Qinghai, 810007, P.R. China.
*Author to whom correspondence should be addressed.
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.
Keywords: Suspension bridge equations, random attractors, linear memory, additive noise