%0 Journal Article
%T Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations
%A Guoguang Lin
%A Changqing Zhu
%J International Journal of Modern Nonlinear Theory and Application
%P 41-52
%@ 2167-9487
%D 2019
%I Scientific Research Publishing
%R 10.4236/ijmnta.2019.82003
%X 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.
%K Stochastic Dynamical Systems
%K Random Attractor Family
%K White Noise
%K Ornstein-Uhlenbeck Process
%K Tempered Sets
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=91966