| 一类带阻尼项的二阶系统的变分法及其应用 |
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| 引用本文： | 王少敏,杨存基.一类带阻尼项的二阶系统的变分法及其应用[J].数学的实践与认识,2017(11):220-225. |
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| 作者姓名： | 王少敏 杨存基 |
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| 作者单位： | 大理大学数学与计算机学院,云南大理,671000 |
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| 摘 要： | 研究了一类带阻尼项的二阶系统的变分法,并利用鞍点定理获得了一个新的存在性结果,推广了已有文献的相关存在性结论.
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| 关 键 词： | 周期解 鞍点定理 二阶系统 变分法 |
On Variational Methods for a Class of Second Order Systems with Damped Vibration and Their Applications |
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| WANG Shao-min,YANG Cun-ji.On Variational Methods for a Class of Second Order Systems with Damped Vibration and Their Applications[J].Mathematics in Practice and Theory,2017(11):220-225. |
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| Authors: | WANG Shao-min YANG Cun-ji |
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| Abstract: | We study the variational methods for a class of second order systems with damped vibration.Via saddle point theorem,an existence theorem is obtained,which extends previously known results. |
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| Keywords: | periodic solutions saddle point theorem second-order systems variantional method |
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