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Lin, G., Chen, L. and Wang, W. (2017) Random Attractors of the Stochastuc Strongly Damped for the High Order Nonlinear Beam Type Equation. International Journal of Mordern Nonlinear Theory and Application, 6, 59-69.
https://doi.org/10.4236/ijmnta.2017.62005

has been cited by the following article:

• TITLE: A Random Attractor Family of the High Order Beam Equations with White Noise

  AUTHORS: Guoguang Lin, Jie Liu

  KEYWORDS: Beam Type Equation, Random Attractor, White Noise

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.9 No.3, September 18, 2020

  ABSTRACT: In this paper, we studied a class of damped high order Beam equation stochas-tic dynamical systems with white noise. First, the Ornstein-Uhlenbeck process is used to transform the equation into a noiseless random equation with random variables as parameters. Secondly, by estimating the solution of the equation, we can obtain the bounded random absorption set. Finally, the isomorphism mapping method and compact embedding theorem are used to obtain the system. It is progressively compact, then we can prove the existence of ran-dom attractors.