| 摘要: |
| 本文研究了具变系数的非局部高阶Kirchhoff方程的渐近行为的问题，在合理的假设条件下，利用先验估计、莱布尼兹公式及经典Galerkin方法，获得了方程整体解的存在唯一性和该类方程的整体吸引子族这一结果，推广了低阶Kirchhoff方程关于整体吸引子的结果. |
| 关键词: 非局部高阶Kirchhoff方程 变系数 整体吸引子族 |
| DOI： |
| 分类号:O175.4 |
| 基金项目:云南省教育厅基金（2020J0908）. |
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| THE FAMILY OF GLOBAL ATTRACTORS FOR NONLOCAL HIGHER-ORDER KIRCHHOFF EQUATIONS WITH VARIABLE COEFFICIENTS |
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LV Peng-hui1, LIN Guo-guang2, SUN Yu-ting3
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1.Applied Technology College of Soochow University, Suzhou 215325, China;2.School of Mathematics and Statistics, Yunnan University, Kunming 650500, China;3.Kunming Campus of Army Border and Coastal Defense College, Kunming 650207, China
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| Abstract: |
| In this paper, we study the asymptotic behavior of nonlocal higher-order Kirchhoff equations with variable coefficients. Under reasonable assumptions, by using prior estimation, Leibniz formula and classical Galerkin method, we obtain the existence and uniqueness of global solutions and the family of global attractors of this kind of equations, which generalizes the results on global attractors of lower order Kirchhoff equations. |
| Key words: Nonlocal higher-order Kirchhoff equation variable coefficient the family of global attractors |
