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

• 作者: Guoguang Lin Ling Chen Wei Wang
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: RANDOM Dynamical System RANDOM ATTRACTOR STRONGLY Dissipation White Noise
• 年，卷（期）: 2017,（2）
• 页码范围: 59-69
• 页数: 11页
• 分类号: O1

摘要

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.