| 关于Duffing方程周期解的一个基本定理的简化证明 |
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| 引用本文： | 董玉君.关于Duffing方程周期解的一个基本定理的简化证明[J].应用数学和力学,2001,22(9):997-1000. |
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| 作者姓名： | 董玉君 |
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| 作者单位： | 1.南京师范大学数学与计算机科学学院, 南京210097; |
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| 摘 要： | 1982年,关于带有双侧共振的Duffing方程周期解的存在性问题,丁同仁采用像平面分析法给出了一个基本定理。该文使用Leray-Schauder延拖原理给出一个简化证明。
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| 关 键 词： | 周期解 Duffing方程 Leray-Schauder延拖原理 |
| 文章编号： | 10000887(2001)09099704 |
| 收稿时间： | 2001-01-12 |
A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing
Equations |
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| DONG Yu_jun.A Simplified Proof to a Theorem by DINH Tongren on Periodic Solutions of Duffing
Equations[J].Applied Mathematics and Mechanics,2001,22(9):997-1000. |
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| Authors: | DONG Yu_jun |
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| Institution: | 1.Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China;2.Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P R China |
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| Abstract: | In 1982, DING Tongren gave a basic theorem about existence of periodic solutions of Duffing equations with double resonance. A simplified proof will be given by making use of the Leray_Schauder principle. |
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| Keywords: | periodic solutions Duffing equations Leray-Schauder principle |
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