具有强阻尼和白噪声的Kirchhoff型悬索桥方程的随机吸引子

Chuangliang Qin, J. Du, Guoguang Lin
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引用次数: 5

摘要

本文研究了具有强阻尼和白噪声的Kirchhoff型悬索桥方程生成的随机动力系统的随机吸引子的存在性。我们首先证明了初边值条件解的存在性和唯一性,然后研究了方程全局吸引子的存在性。
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Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White Noises
In this paper, we investigate the existence of random attractor for the random dynamical system generated by the Kirchhoff-type suspension bridge equations with strong damping and white noises. We first prove the existence and uniqueness of solutions to the initial boundary value conditions, and then we study the existence of the global attractors of the equation.
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