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has been cited by the following article:

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

  AUTHORS: Guoguang Lin, Changqing Zhu

  KEYWORDS: Stochastic Dynamical Systems, Random Attractor Family, White Noise, Ornstein-Uhlenbeck Process, Tempered Sets

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.8 No.2, April 23, 2019

  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.