Author(s)

Guoguang Lin^*, Changqing Zhu

School of Mathematics and Statistics, Yunnan University, Kunming, China.

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.

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

Lin, G. and Zhu, C. (2019) Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations. International Journal of Modern Nonlinear Theory and Application, 8, 41-52. doi: 10.4236/ijmnta.2019.82003.