| 多偏差变元中立型Rayleigh方程周期解问题 |
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| 引用本文： | 鲁世平,葛渭高.多偏差变元中立型Rayleigh方程周期解问题[J].数学物理学报(A辑),2006,26(6):879-888. |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | 安徽师范大学数学系，北京理工大学数学系 芜湖 241000，北京 100081 |
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| 基金项目： | 国家自然科学基金(10371006)，安徽省自然科学基金(050460103)，安徽省教育厅自然科学重点基金(2005kj031ZD)，安徽高校学科带头人科研基金资助 |
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| 摘 要： | 作者研究了一类多偏差变元中立型Rayleigh方程周期解问题,利用Mawhin重合度拓展定理得到了周期解存在性的新结果.
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| 关 键 词： | 周期解 Mawhin重合度拓展定理 中立型Rayleigh方程 |
| 文章编号： | 1003-3998(2006)06-879-10 |
| 收稿时间： | 2004-09-08 |
| 修稿时间： | 2005-12-08 |
On the Existence of Periodic Solutions to Neutral Rayleigh Functional Differential Equation with Multiple Deviating Arguments |
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| Lu Shiping,Ge Weigao.On the Existence of Periodic Solutions to Neutral Rayleigh Functional Differential Equation with Multiple Deviating Arguments[J].Acta Mathematica Scientia,2006,26(6):879-888. |
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| Authors: | Lu Shiping Ge Weigao |
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| Institution: | 1.Department of Mathematics, Anhui Normal University, Wuhu 241000;2.Department, of Mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | In this paper, by employing Mawhin's continuation theorem, the authors study a kind of neutral Rayleigh functional differential equation with multiple deviating arguments. A new result on the existence of its periodic solutions is obtained. |
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| Keywords: | Periodic solution Mawhin's continuation theorem of coincidence degree principle Rayleigh neutral functional differential equation |
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