一类具有记忆项的耦合梁方程的全局吸引子  

Global Attractor for a Kind of Coupled Beam Equation with Memory

作　　者：高慧芳 GAO Hui-fang(Department of Mathematics and Computational Science,Shuozhou Normal College,Shuozhou,Shanxi 036000)

机构地区：[1]朔州师范高等专科学校数计系,山西朔州036000

出　　处：《怀化学院学报》2020年第5期70-78,共9页Journal of Huaihua University

摘　　要：考虑一类具有记忆项的耦合梁方程的全局吸引子.利用Nakao引理证明了方程存在有界吸收集,利用已知验证紧性的方法证明了方程解半群的紧致性,进而证明了方程存在全局吸引子.Global attractor is considered for a kind of coupled beam equation with memory.It is proved that the existence of bounded absorbing set by using Nakao's Lemma.Using the method known to validate compactness,we prove the the asymptotic compactness of solution semigroup and then obtained the existence of global attractor.

关 键 词：记忆项 耦合梁方程 吸收集 紧致性 全局吸引子 

分 类 号：O189.11[理学—数学]