带线性记忆的弱阻尼吊桥方程拉回吸引子的存在性  

Existence of Pullback Attractors for Weakly Damped Suspension Bridge Equations with Linear Memory

作　　者：王芳平 马巧珍 WANG Fangping;MA Qiaozhen(College of Mathematics and Statistics,Northwest Normal Universi ty,Lanzhou 730070,China)

机构地区：[1]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）》2018年第6期1307-1314,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11561064);甘肃省自然科学基金(批准号:1107RJZA223)

摘　　要：用收缩函数的方法,给出带线性记忆的弱阻尼吊桥方程的拉回D-渐近紧性,从而证明了拉回吸引子的存在性.We gave the pullback D-asymptotic compactness for the weakly damped suspension bridge equations with linear memory by using the method of contraction function,and then proved the existence of pullback attractor.

关 键 词：吊桥方程 拉回吸引子 拉回吸收集 拉回D-渐近紧性 

分 类 号：O175.27[理学—数学]