带有记忆核的可拉伸时滞吊桥方程解的长时间行为  

Long-time Behavior of Solution for the Non-autonomous Extensible Suspension Bridge Equation with Memory and Time Delay

作　　者：王素萍 马巧珍 WANG Suping;MA Qiaozhen(School of Mathematics and Statistics,LongDong University,Qingyang 745000,China;School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000 [2]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《应用数学》2022年第4期892-908,共17页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11961059);Doctor research funding of LongDong University(XYBYZK2112,XYBYZK2113);Innovation Fund for Higher Education of Gansu Province(2021B-270);Natural Science Foundation of Gansu Province(21JR1RM337)。

摘　　要：吊桥方程解的长期动力学行为已有许多经典结论,但关于时滞吊桥方程动力学行为的研究甚少.本文研究带有记忆核的可拉伸时滞吊桥方程解的长期动力学行为,利用压缩函数的方法,获得该时滞吊桥方程拉回吸引子的存在性.Long-time dynamics of the solutions for the suspension bridge equations without delay effects have been investigated by many authors,but there are few works on extensible suspension bridge with memory and time delay.In this paper,we consider the long-time behavior for the non-autonomous extensible suspension bridge equation with memory and time delay.Existence of pullback attractor is shown by using the contractive function methods.

关 键 词：可拉伸吊桥方程 时滞 记忆核 拉回吸引子 压缩函数 

分 类 号：O175.29[理学—数学]