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Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise

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Document pages: 11 pages

Abstract: The existence of random attractor family for a classof nonlinear high-order Kirchhoff equation stochastic dynamical systems withwhite noise is studied. The Ornstein-Uhlenbeck process and the weak solution ofthe equation are used to deal with the stochastic terms. The equation istransformed into a general stochastic equation. The bounded stochasticabsorption set is obtained by estimating the solution of the equation and theexistence of the random attractor family is obtained by isomorphic mapping method. Temper random compact sets ofrandom attractor family are obtained.

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