| 带有加性噪声的阻尼吊桥方程随机吸引子的存在性 |
| |
| 引用本文： | 马文君,孙亮亮.带有加性噪声的阻尼吊桥方程随机吸引子的存在性[J].吉林大学学报(理学版),2021,59(5):1080-1088. |
| |
| 作者姓名： | 马文君 孙亮亮 |
| |
| 作者单位： | 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 |
| |
| 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.
|
| 关 键 词： | 吊桥方程 随机吸引子 加性噪声 一致渐近紧性 |
| 收稿时间： | 2021-01-25 |
Existence of Random Attractors for Damped Suspension Bridge Equation with Additive Noise |
| |
| MA Wenjun,SUN Liangliang.Existence of Random Attractors for Damped Suspension Bridge Equation with Additive Noise[J].Journal of Jilin University: Sci Ed,2021,59(5):1080-1088. |
| |
| Authors: | MA Wenjun SUN Liangliang |
| |
| Institution: | 1. School of Economics, Lanzhou Technology and Business College, Lanzhou 730101, China;
2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
|
| |
| Abstract: | 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. |
| |
| Keywords: | suspension bridge equation random attractor additive noise uniform asymptotic compactness |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
