| 二阶离散Hamiltonian系统的周期解 |
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| 引用本文： | 孟琼.二阶离散Hamiltonian系统的周期解[J].山西大学学报(自然科学版),2010,33(1). |
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| 作者姓名： | 孟琼 |
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| 作者单位： | 中南大学,数学科学和计算技术学院,湖南长沙410083;山西大学数学科学学院,山西太原030006 |
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| 基金项目： | 中南大学博士后科学基金 |
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| 摘 要： | 通过临界点理论,在线性的条件下,研究二阶离散Hamiltonian系统的周期解的存在性.
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| 关 键 词： | 二阶离散 Hamiltonian系统 周期解 临界点理论 |
Periodic Solution for Second-order Discrete Hamiltonian Systems |
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| MENG Qiong.Periodic Solution for Second-order Discrete Hamiltonian Systems[J].Journal of Shanxi University (Natural Science Edition),2010,33(1). |
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| Authors: | MENG Qiong |
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| Institution: | MENG Qiong1,2(1.School of Mathematical Sciences , Computing Technology,Central South University,Changsha 410083,China,2.School of Mathematical Science,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | The periodic solution is obtained for second--order discrete Hamiltonian systems Δ2u(n- 1) + ▽F(n,u(n)) = 0,n ∈Z under the linear condition by using critical point theory. |
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| Keywords: | second-order discrete Hamiltonian systems periodic solution critical point theory |
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