一类具次二次势能的阻尼振动问题(英文) |
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引用本文: | 孙昭洪,李时敏,贺铁山,高川翔.一类具次二次势能的阻尼振动问题(英文)[J].仲恺农业工程学院学报,2014,27(4):51-56. |
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作者姓名: | 孙昭洪 李时敏 贺铁山 高川翔 |
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作者单位: | 1仲恺农业工程学院计算科学学院2广东财经大学数学与统计学学院 |
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基金项目: | Supported by the National Natural Science Foundation of China (11401111). |
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摘 要: | 应用临界点理论研究了具次二次势能的阻尼振动Hamilton系统的周期解的存在性和多重性,得到了一些新的结果.
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关 键 词: | 阻尼振动 次二次势能 解的多重性 鞍点特性 |
收稿时间: | 2015-10-27 |
On a class of damped vibration problems with sub-quadratic potentials |
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Institution: | SUN Zhaohong, LI Shimin , HE Tieshan , GAO Chuanxiang (1. College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China; 2. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China) |
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Abstract: | For the damped vibration Hamihonian systems with sub-quadratic potentials, the existence and multiplicity of periodic solutions was studied by using critical point theory. Some new results were obtained. |
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Keywords: | damped vibration problem sub-quadratic potential multiplicity of solutions saddle point character |
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