| Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations |
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| 引用本文： | Tai Shan YI Li Hong HUANG. Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations[J]. 数学学报(英文版), 2007, 23(8): 1375-1384. DOI: 10.1007/s10114-005-0932-7 |
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| 作者姓名： | Tai Shan YI Li Hong HUANG |
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| 作者单位： | College of Mathematics and Econometrics. Hu＇nan University, Changsha, Hu＇nan 410082, P. R. China |
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| 基金项目： | Research supported by the Natural Science Foundation of China （10371034） and the Specialized Research Fund for the Doctoral Program of Higher Education （20050532023） We wish to thank the anonymous referee whose valuable comments and suggestions lead to a significant improvement of this paper and correction of some mistakes in the proof of our key Lemma 3.1. |
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| 摘 要： | The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a constant vector as t→∞. Our results improve and extend some corresponding ones already known.
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| 关 键 词： | 渐进线形态 时延微分方程 ω有限集 有界解 |
| 修稿时间： | 2004-03-29 |
Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations |
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| Tai Shan Yi,Li Hong Huang. Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations[J]. Acta Mathematica Sinica(English Series), 2007, 23(8): 1375-1384. DOI: 10.1007/s10114-005-0932-7 |
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| Authors: | Tai Shan Yi Li Hong Huang |
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| Affiliation: | (1) College of Mathematics and Econometrics, Hu'nan University, Changsha, Hu'nan, 410082, P. R. China |
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| Abstract: | The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a constant vector as t → ∞. Our results improve and extend some corresponding ones already known. Research supported by the Natural Science Foundation of China (10371034) and the Specialized Research Fund for the Doctoral Program of Higher Education (20050532023) |
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| Keywords: | asymptotic behavior delay differential equation ω -limit set |
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