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.
Highlights
A Random Attractor Family of the High Order Beam Equations with White NoiseHow to cite this paper: Lin, G.G. and Liu, J. (2020) A Random Attractor Family of the High Order Beam Equations with White Noise
We studied a class of damped high order Beam equation stochastic dynamical systems with white noise
We can prove the existence of random attractors
Summary
How to cite this paper: Lin, G.G. and Liu, J. (2020) A Random Attractor Family of the High Order Beam Equations with White Noise. How to cite this paper: Lin, G.G. and Liu, J. (2020) A Random Attractor Family of the High Order Beam Equations with White Noise. International Journal of Modern Nonlinear Theory and Application, 9, 51-61. Received: August 13, 2020 Accepted: September 15, 2020 Published: September 18, 2020
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