TITLE:
Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White Noises
AUTHORS:
Chuangliang Qin, Jinji Du, Guoguang Lin
KEYWORDS:
Kirchhoff-Type Suspension Bridge Equations, Random Attractors, Random Dynamical System
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.6 No.4,
December
21,
2017
ABSTRACT: 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.