高阶非线性kirchhoff型方程随机强阻尼的随机吸引子

Guoguang Lin, Ling Chen, Wei Wang
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引用次数: 6

摘要

本文考虑具有非线性强耗散和白噪声的随机高阶kirchhoff型方程。首先利用Ornstein-Uhlenbeck过程处理随机项,建立了解的健全性,然后证明了全局随机吸引子的存在性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation
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.
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