| 具有拟周期外力的非自治时滞发展方程的近似惯性流形 |
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| 引用本文： | 李祥,朱健民,黄建华. 具有拟周期外力的非自治时滞发展方程的近似惯性流形[J]. 数学物理学报(A辑), 2008, 28(6): 1088-1096 |
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| 作者姓名： | 李祥 朱健民 黄建华 |
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| 作者单位： | 国防科技大学理学院数学与系统科学系,长沙410073 |
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| 基金项目： | 国家自然科学基金(10571175)资助 |
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| 摘 要： | 该文研究了一类具有拟周期外力的非自治时滞发展方程, 通过延伸相平面将非自治系统转化为自治系统, 再证明相应的自治系统的时滞惯性流形的存在性, 并在时滞惯性流形的基础上构造了非自治发展方程的近似惯性流形.
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| 关 键 词： | 拟周期外力 时滞惯性流形 近似惯性流形 |
| 收稿时间： | 2007-04-21 |
| 修稿时间： | 2008-03-16 |
Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Retarded Evolution Equations with Quasi-Periodic Terms |
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| Li Xiang,Zhu Jianmin,Huang Jianhua. Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Retarded Evolution Equations with Quasi-Periodic Terms[J]. Acta Mathematica Scientia, 2008, 28(6): 1088-1096 |
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| Authors: | Li Xiang Zhu Jianmin Huang Jianhua |
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| Affiliation: | (Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073) |
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| Abstract: | The present paper deals with the long-time behavior of a class of non-autonomous retarded evolution equations with quasi-periodic terms. First we prove the existence of the inertial manifolds with delay of the systems, then we construct the approximate inertial manifolds of the systems. |
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| Keywords: | Quasi-periodic termzz Inertial manifold with delayzz Approximate inertial manifoldzz |
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