| 一类阻尼振动问题的周期解的多重性结果 |
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| 引用本文： | 李娴,苏志芳,线加玲.一类阻尼振动问题的周期解的多重性结果[J].昆明师范高等专科学校学报,2012(6):10-15. |
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| 作者姓名： | 李娴 苏志芳 线加玲 |
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| 作者单位： | 昆明学院数学系,云南昆明650214 |
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| 基金项目： | 云南省教育厅科研资助项目（2012Y461） |
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| 摘 要： | 研究了一类阻尼振动问题（1），通过建立恰当的变分设置，在一定条件下，获得了该阻尼振动问题的周期解的多重性结果．得到的结果推广和改进了文献1]和文献2]的主要结果．
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| 关 键 词： | 二阶系统 阻尼振动问题 多重周期解 临界点 |
Multiplicity Result of Periodic Solutions for a Class of Damped Vibration Problems |
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| LI Xian,SU Zhi-fang,XIAN Jia-ling.Multiplicity Result of Periodic Solutions for a Class of Damped Vibration Problems[J].Journal of Kunming Teachers College,2012(6):10-15. |
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| Authors: | LI Xian SU Zhi-fang XIAN Jia-ling |
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| Institution: | ( Department of Mathematics, Kunming University, Yunnan Kunming 650214, China) |
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| Abstract: | A class of damped vibration problems （ 1 ） is studied by establishing a proper variational setting under certain conditions. A multiplicity result of periodic solutions of the damped vibration problems is obtained. The results presented in this paper imprave and extend some recent results of references 1 ] and references 2]. |
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| Keywords: | second order system damped vibration problem multiple periodic solutions critical point |
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