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Yang, Z.J. and Ding, P.Y. (2016) Longtime Dynamics of the Kirchhoff Equation with Strong Damping and Critical Nonlinearity on RN. Journal of Mathematical Analysis and Applications, 434, 1826-1851.

has been cited by the following article:

• TITLE: Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation

  AUTHORS: Guoguang Lin, Ling Chen, Wei Wang

  KEYWORDS: Random Dynamical System, Random Attractor, Strongly Dissipation, White Noise

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.6 No.2, June 14, 2017

  ABSTRACT: In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with random term by using Ornstein-Uhlenbeck process and establish the wellness of the solution, then the existence of global random attractor are proved.