| 二阶具变号位势的离散Hamilton系统的次调和解 |
| |
| 引用本文： | 邓小青,罗智明.二阶具变号位势的离散Hamilton系统的次调和解[J].湘潭大学自然科学学报,2011,33(2):4-7. |
| |
| 作者姓名： | 邓小青 罗智明 |
| |
| 作者单位： | 湖南商学院信息学院; |
| |
| 基金项目： | 国家自然科学基金项目(30870659) |
| |
| 摘 要： | 利用环绕定理研究一类二阶具变号位势的离散Hamilton系统的次调和解的存在性.首先将该类离散Hamilton系统的次调和解的存在性转化为适当函数空间上对应泛函的临界点的存在性，然后用环绕定理证得临界点的存在性，得到一系列存在性定理.
|
| 关 键 词： | 次调和解 二阶离散Hamilton系统 变号位势 环绕定理 临界点 |
Subharmonic Solutions for Second Order Discrete Hamiltonian Systems with Potential Changing Sign |
| |
| DENG Xiao-qing,LUO Zhi-ming.Subharmonic Solutions for Second Order Discrete Hamiltonian Systems with Potential Changing Sign[J].Natural Science Journal of Xiangtan University,2011,33(2):4-7. |
| |
| Authors: | DENG Xiao-qing LUO Zhi-ming |
| |
| Institution: | DENG Xiao-qing*,LUO Zhi-ming(College of Information,Hunan University of Commerce,Changsha 410205 China) |
| |
| Abstract: | The existence of subharmonic solutions of a class of second order discrete Hamiltonian systems with potential changing sign is studied by using Linking theorem,and a series of new theorems are obtained by changing the existence of subharmonic solutions into the existence of critical points of the corresponding functional on suitable function space. |
| |
| Keywords: | subharmonic solutions second order discrete Hamiltonian systems potential changing sign linking theorem critical points |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《湘潭大学自然科学学报》浏览原始摘要信息 |
| 点击此处可从《湘潭大学自然科学学报》下载免费的PDF全文 |
