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.
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)
出处
《吉林大学学报（理学版）》
CAS
北大核心
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).
关键词
吊桥方程
随机吸引子
加性噪声
一致渐近紧性
suspension bridge equation
random attractor
additive noise
uniform asymptotic compactness
