带有加性噪声的阻尼吊桥方程随机吸引子的存在性  

Existence of Random Attractors for DampedSuspension Bridge Equation with Additive Noise

作　　者：马文君 孙亮亮 MA Wenjun;SUN Liangliang(School of Economics,Lanzhou Technology and Business College,Lanzhou 730101,China;College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]兰州工商学院经济学院,兰州730101 [2]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2021年第5期1080-1088,共9页Journal of Jilin University:Science Edition

基　　金：甘肃省青年科技基金(批准号:20JR10RA099);兰州财经大学陇桥学院2020年青年基金(批准号:LQKJ2020-04).

摘　　要：用算子分解技巧,通过对方程的解进行先验估计,给出随机动力系统的一致渐近紧性,从而证明了随机吊桥方程在加性噪声下随机吸引子的存在性.By using operator decomposition technique and priori estimation of the solution of the equation,we gave the uniform asymptotic compactness of the random dynamical system,and proved the existence of the random attractor for the stochastic suspension bridge equation with additive noise.

关 键 词：吊桥方程 随机吸引子 加性噪声 一致渐近紧性 

分 类 号：O175.29[理学—数学]