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Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations

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Document pages: 12 pages

Abstract: The existence of random attractor family for a class of nonlinear nonlocal higher-order Kirchhoff partial differential equations with additive white noise is studied. The weak solution of the equation is established by the Ornstein-Uhlenbeck process to deal with the random term, and a bounded random absorption set is obtained. And then, the existence of the random attractor family is proved by the isomorphism mapping method.

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