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.