| 一类非自治时滞抛物方程的一致吸引子 |
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| 引用本文： | 王圆,黄建华.一类非自治时滞抛物方程的一致吸引子[J].数学杂志,2010,30(3). |
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| 作者姓名： | 王圆 黄建华 |
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| 作者单位： | 1. 国防科学技术大学数学与系统科学系,湖南,长沙,410073;中国人民解放军91746部队,北京,102206
2. 国防科学技术大学数学与系统科学系,湖南,长沙,410073 |
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| 摘 要： | 本文研究了一类具有平移有界非自治外力的时滞抛物方程的动力学性态,得到了其整体解的存在和唯一性.利用时间符号理论,并通过构造乘积空间中的紧吸收集,在时间符号空间非紧的情形下得到了一致吸引子的存在性.
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| 关 键 词： | 一致吸引子 平移有界函数类 非自治抛物方程 时滞 |
UNIFORM ATTRACTORS FOR A CLASS OF NONAUTONOMOUS PARABOLIC EQUATIONS WITH DELAYS |
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| WANG Yuan,Huang Jian-hua.UNIFORM ATTRACTORS FOR A CLASS OF NONAUTONOMOUS PARABOLIC EQUATIONS WITH DELAYS[J].Journal of Mathematics,2010,30(3). |
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| Authors: | WANG Yuan Huang Jian-hua |
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| Institution: | WANG Yuan~(1,2),Huang Jian-hua~1 (1.Dept.of Math., System Sciences,National University of Defense Technology,Changsha 410073,China) (2.91746 Unit,PLA,Beijing 102206,China) |
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| Abstract: | In this article,we study the asymptotic behavior of a class of parabolic equations with delays and translation bounded external force items.Firstly the existence and uniqueness of solutions is obtained;then by using the time-symbol theory and constructing the compact absorbing set in product space,we prove the existence of uniform attractors for the system with symbol that is not translation compact. |
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| Keywords: | uniform attractor translation bounded functions nonautonomous parabolic equations time delays |
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