| 带时滞项的高阶Kirchhoff方程的拉回吸引子 |
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| 引用本文： | 徐瑰瑰,王利波,张海霞. 带时滞项的高阶Kirchhoff方程的拉回吸引子[J]. 河南师范大学学报(自然科学版), 2019, 47(3): 21-27 |
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| 作者姓名： | 徐瑰瑰 王利波 张海霞 |
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| 作者单位： | 云南大学数学与统计学院,昆明650091;凯里学院理学院,贵州凯里556011;凯里学院理学院,贵州凯里,556011;河南师范大学数学与信息科学学院,河南新乡,453007 |
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| 基金项目： | 国家自然科学基金;贵州省教育厅青年科技人才成长项目 |
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| 摘 要： | 研究了带有时滞项的高阶Kirchhoff方程的拉回吸引子的存在性.首先利用解的有界性验证了拉回吸引集的存在性,接着借助sobolev空间的紧嵌入证明了该初边值问题产生的过程是紧的,最后得到了拉回吸引子的存在性.
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| 关 键 词： | 高阶Kirchhoff方程 时滞 拉回吸引集 拉回吸引子 |
Pullback attractors for the higher-order Kirchhoff-type equation with time delay |
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| Affiliation: | ,School of Mathematics and Statistics,Yunnan University,School of Science,Kaili University,College of Mathematics and Information Science,Henan Normal University |
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| Abstract: | In this paper,we deal with the existence of pullback attractor for the higher-order Kirchhoff-type equation with time delay.Firstly,the existence of pullback absorbing set is verified by the boundedness of the solution,then the compact embedding for the sobolev space allows us to prove the compactness of the process produced by the initial value problem.At last,we get the existence of the pullback attractor. |
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| Keywords: | higher-order Kirchhoff-type equation time delay pullback absorbing set pullback attractor |
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