| 引用本文: | 李劲,黄建华,朱健民.非自治时滞抛物方程的pullback吸引子.[J].国防科技大学学报,2009,31(2):126-130.[点击复制] |
| LI Jin,HUANG Jianhua,ZHU Jianmin.Pullback Attractor of Non-autonomous Parabolic Equations with Time Delays[J].Journal of National University of Defense Technology,2009,31(2):126-130[点击复制] |
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| 非自治时滞抛物方程的pullback吸引子 |
| 李劲, 黄建华, 朱健民 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 研究一类具有平移指数增长函数的非自治时滞抛物型偏微分方程,证明了由方程解生成的非自治无穷维动力系统在L2(Ω)×C(［-r,0］; L2(Ω))空间中存在pullback吸引子。 |
| 关键词: Pullback吸引子 α- 平移指数增长函数 |
| DOI： |
| 投稿日期：2008-08-29 |
| 基金项目:国家自然科学基金资助项目(10571175) |
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| Pullback Attractor of Non-autonomous Parabolic Equations with Time Delays |
| LI Jin, HUANG Jianhua, ZHU Jianmin |
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(College of Science, National Univ. of Defense Technology, Changsha 410073，China)
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| Abstract: |
| This paper is aimed to study the dynamics of a class of non-autonomous parabolic equation with time delays and alpha-translation exponential external function. The existence of pullback attractor for the non-autonumous infinite-dimensional dynamical systems generated by the non-autonomous parabolic equation with time delays is obtained in the space L2(Ω)×C(［-r,0］; L2(Ω)). |
| Keywords: pullback attractor α- translation exponential external function |
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