具有拟周期外力的非自治时滞发展方程的近似惯性流形

数学物理学报 ›› 2008, Vol. 28 ›› Issue (6): 1088-1096.

具有拟周期外力的非自治时滞发展方程的近似惯性流形

李祥|朱健民|黄建华

(国防科技大学理学院数学与系统科学系长沙 410073)

收稿日期:2007-04-21 修回日期:2008-03-16 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 李祥
基金资助:
国家自然科学基金(10571175)资助

Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Retarded Evolution Equations with Quasi-Periodic Terms

Li Xiang|Zhu Jianmin|Huang Jianhua

(Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073)

Received:2007-04-21 Revised:2008-03-16 Online:2008-12-25 Published:2008-12-25
Contact: Li Xiang

摘要/Abstract

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.

关键词: 拟周期外力, 时滞惯性流形, 近似惯性流形

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.

Key words: Quasi-periodic term, Inertial manifold with delay, Approximate inertial manifold

中图分类号:

35B40

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, 2008, 28(6): 1088-1096.

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,Series A, 2008, 28(6): 1088-1096.

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