Qin, C.L., Du, J.J. and Lin, G.G. (2017) Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White Noises. International Journal of Modern Nonlinear Theory and Application, 6, 134-147.
https://doi.org/10.4236/ijmnta.2017.64012

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.