KD-拉回吸引的非自治动力系统拉回吸引子的存在性及其应用  

Existence of Pullback Attractors for Non-Autonomous Dynamical Systems with KD-Pullback Attraction and Application

作　　者：李永军[1] 魏晋滢 陈莉 LI Yong-jun;WEI Jin-ying;CHEN Li(School of Electronic Engineering,Lanzhou City University,Lanzhou 730070,China;School of Information Engineering,Lanzhou City University,Lanzhou 730070,China)

机构地区：[1]兰州城市学院电子工程学院,甘肃兰州730070 [2]兰州城市学院信息工程学院,甘肃兰州730070

出　　处：《数学的实践与认识》2023年第4期225-230,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11761044);甘肃省教育厅青年博士基金(2021QB-117,2022QB-173)。

摘　　要：利用拉回吸引子的存在性理论,证明了具有KD-拉回吸引的非自治动力系统拉回吸引子的存在性,拉回吸引子是单点集,是不变的.对无解域上的非自治反映扩散方程,证明了拉回指数吸引子的存在性,是方程唯一拉回指数吸引的稳定解.By using the existence theory of pullback attractor,the existence of pullback attractor for non-autonomous dynamical systems with KD-pullback attraction is proved,and the pullback attractor is a single point set and is invariant.Then the existence of pullback exponential attractor is proved for non-autonomous reaction diffusion equations in unbounded domain which is a only stable solution to the equation that pullback exponential attraction.

关 键 词：非自治动力系统 拉回有界吸收集 拉回指数吸引子 反应扩散方程 

分 类 号：O175[理学—数学]