| 高阶Duffing方程周期解的存在性 |
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| 引用本文： | 刘文斌,李勇. 高阶Duffing方程周期解的存在性[J]. 数学学报, 2003, 46(1): 49-56. DOI: cnki:ISSN:0583-1431.0.2003-01-007 |
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| 作者姓名： | 刘文斌 李勇 |
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| 作者单位： | 1. 中国矿业大学数学系,徐州,221008;吉林大学数学系,长春,130012
2. 吉林大学数学系,长春,130012 |
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| 摘 要： | 本文利用度理论研究高阶Duffing方程周期解的存在性,在某种程度上改进 了一些已有的结果.
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| 关 键 词： | 高阶Duffing方程 周期解 拓扑度 |
| 文章编号： | 0583-1431(2003)01-0049-08 |
| 修稿时间： | 2001-01-04 |
The Existence of Periodic Solutions for High Order Duffing Equations |
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| Wen Bin LIU. The Existence of Periodic Solutions for High Order Duffing Equations[J]. Acta Mathematica Sinica, 2003, 46(1): 49-56. DOI: cnki:ISSN:0583-1431.0.2003-01-007 |
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| Authors: | Wen Bin LIU |
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| Affiliation: | Wen Bin LIU(Department of Mathematics, China University of Mining and Technology,Xuzhou 221008, P. R. China) (Department of Mathematics, Jilin University, Changchun 130012, P. R. China)Yong LI (Department of Mathematics, Jilin University, Changchun 130012, P. R. China) |
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| Abstract: | In this paper, the existence of periodic solutions for high order Duffing equations is studied by using degree theory and some known results are improved to some extent. |
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| Keywords: | High order Duffing equations Periodic solutions Topological degree |
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