Long-time behavior for suspension bridge equations with time delay

被引：8

作者：

Park, Sun-Hye ^{[1
]}

机构：

[1] Pusan Natl Univ, Off Educ Accreditat, Busan 609735, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Attractor; Suspension bridge equation; Time delay; GLOBAL ATTRACTORS; VARYING DELAY; EXISTENCE; FEEDBACKS;

D O I：

10.1007/s00033-018-0934-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many researchers have studied well-posedness, decay rates of energy, and existence of attractors for suspension bridge equations without delay effects. But, as far as we know, there is no work about suspension equations with time delay. In addition, there are not many studies on attractors for other delayed systems. Thus we first provide well-posedness for suspension equations with time delay. And then show the existence of global attractors and the finite dimensionality of the attractors by establishing energy functionals which are related to the norm of the phase space to our problem.

引用

页数：12

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