Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (5): 1080-1088.

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Existence of Random Attractors for Damped Suspension Bridge Equation with Additive Noise

MA Wenjun1, SUN Liangliang2   

  1. 1. School of Economics, Lanzhou Technology and Business College, Lanzhou 730101, China;
    2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2021-01-25 Online:2021-09-26 Published:2021-09-26

Abstract: By using operator decomposition technique and priori estimation of the solution of the equation, we gave the uniform asymptotic compactness of the random dynamical system, and proved the existence of the random attractor for the stochastic suspension bridge equation with additive noise.

Key words: suspension bridge equation, random attractor, additive noise, uniform asymptotic compactness

CLC Number: 

  • O175.29