| 具有次二次双偶位势的二阶哈密顿系统多重非平凡奇周期解的存在性 |
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| 引用本文： | 李成岳. 具有次二次双偶位势的二阶哈密顿系统多重非平凡奇周期解的存在性[J]. 应用泛函分析学报, 2010, 12(3): 234-238 |
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| 作者姓名： | 李成岳 |
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| 作者单位： | 中央民族大学理学院,北京,100081 |
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| 基金项目： | SRF for ROCS SEM（2007-2008） |
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| 摘 要： | 利用变分理论中的Clark定理,讨论了一类具有次二次双偶位势的二阶哈密顿系统(x|¨)(t)+V_x(t,x(t))=0多重非平凡奇周期解的存在性.
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| 关 键 词： | 二阶哈密顿系统 次二次位势 双偶位势 周期解 |
Existence and Multiplicity of Nontrivial odd Periodic Solutions of Second order Hamiltonian Systems with Bi-even Subquadratic Potentials |
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| LI Chengyue. Existence and Multiplicity of Nontrivial odd Periodic Solutions of Second order Hamiltonian Systems with Bi-even Subquadratic Potentials[J]. Acta Analysis Functionalis Applicata, 2010, 12(3): 234-238 |
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| Authors: | LI Chengyue |
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| Affiliation: | LI Chengyue (Science School,Minzu University of China,Beijing 100081,China ) |
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| Abstract: | Existence and multiplicity of nontrivial odd periodic solutions of second order Hamiltonian systemsx（t）＋Vx（t,x（t））=0 with bi-even subquadratic potentials are discussed by Clark Theorem in variational methods. |
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| Keywords: | Hamiltonian systems subquadratic potential bi-even potential periodic solutions |
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