| 一类带阻尼项的二阶Hamilton系统的多重周期解 |
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| 引用本文： | 张申贵.一类带阻尼项的二阶Hamilton系统的多重周期解[J].数学研究,2013(3):303-310. |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学数学与计算机科学学院,甘肃兰州730030 |
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| 基金项目： | 国家自然科学基金（31260098）,中央高校基本科研业务费专项资助（31920130004）. |
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| 摘 要： | 利用临界点理论研究带阻尼项的二阶Hamilton系统周期解的存在性.在具有部分周期位势和线性增长非线性项时,根据广义鞍点定理定理,得到了系统多重周期解存在的充分条件.
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| 关 键 词： | 二阶Hamilton系统 线性增长 部分周期 周期解 临界点 |
Multiplicity of Periodic Solution of a Class of Non-autonomous Second-order Hamiltonian System with Damped Vibration |
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| Zhang Shengui.Multiplicity of Periodic Solution of a Class of Non-autonomous Second-order Hamiltonian System with Damped Vibration[J].Journal of Mathematical Study,2013(3):303-310. |
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| Authors: | Zhang Shengui |
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| Institution: | Zhang Shengui (College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou Gansu 730030) |
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| Abstract: | By using critical point theory, the authors studied the existence of periodic solutions for Second-order Hamiltonian system with damped vibration, partially periodic potential and linear nonlinearity. Some sufficient conditions for existence of multiplicity of periodic solutions are obtained via generalized saddle point theorem. |
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| Keywords: | Second-order Hamiltonian system Grow linearly Partially periodic Pe-riodic Solution Critical point |
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