| n维Rayleigh方程周期解的存在性 |
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| 引用本文： | 刘峰.n维Rayleigh方程周期解的存在性[J].数学学报,1994,37(5). |
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| 作者姓名： | 刘峰 |
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| 作者单位： | 西安交通大学数学系应用数学研究中心 |
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| 摘 要： | 本文主要讨论ｎ维Ｒａｙｌｅｉｇｈ方程周期解的存在性。利用Ｍａｗｈｉｎ的重合度（ｃｏｉｎｃｉｄｅｎｃｅｄｅｇｒｅｅ）理论，我们给出了其周期解存在的两个充分条件。对其特例ｎ锥Ｄｕｆｆｉｎｇ方程给出了周期解存在唯一的条件。
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| 关 键 词： | 重合度，紧算子，周期解 |
| 收稿时间： | 1990-1-8 |
| 修稿时间： | 1993-6-5 |
On the Existence of the Periodic Soltitions of Rayleigh Equation |
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| Liu Feng.On the Existence of the Periodic Soltitions of Rayleigh Equation[J].Acta Mathematica Sinica,1994,37(5). |
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| Authors: | Liu Feng |
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| Institution: | Liu Feng(Research Centre for Applied Mathematics,Department of Mathematics,xi'an Jiaotong University,Xi’an 710049,China) |
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| Abstract: | In this paper we study the existence of periodic solutions of n-dim Rayleigh equation.Using coinc idence degree t heory developed by Mawhin,we find two suffi cient conditions for theexistence of periodic solutions of Rayleigh equation. Particularly, the uniqueness of periodicsolutions of Duffing equation is considered. |
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| Keywords: | coincidence degree compact operator periodic solution |
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