Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations
Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations作者机构：School of Mathematics and Statistics Yunnan University Kunming China
出 版 物：《International Journal of Modern Nonlinear Theory and Application》 (现代非线性理论与应用（英文）)
年 卷 期：2019年第8卷第2期
页 面：41-52页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Stochastic Dynamical Systems Random Attractor Family White Noise Ornstein-Uhlenbeck Process Tempered Sets
摘 要：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.
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