| 一类二阶微分方程的周期解 |
| |
| 引用本文： | 叶芳慧,赵海坤. 一类二阶微分方程的周期解[J]. 玉林师范学院学报, 2010, 31(2): 23-25 |
| |
| 作者姓名： | 叶芳慧 赵海坤 |
| |
| 作者单位： | 1. 玉林师范学院,数学与计算机系,广西,玉林,357000
2. 南京信息工程大学,江苏,南京,210044 |
| |
| 基金项目： | 江苏省教育厅自然科学基金项目No.02KSB170002 |
| |
| 摘 要： | 本文基于锥的相关知识,根据上下解的思想,采用单调迭代方法和一类算子不动点理论,证明了给定反序上下解的二阶微分方程的周期解的存在性.
|
| 关 键 词： | 锥 不动点 周期解 上下解 空间 存在性 |
The Periodic Solution to a Class of Second Order Differential Equation |
| |
| YE Fang-hui,ZHAO Hai-kun. The Periodic Solution to a Class of Second Order Differential Equation[J]. Journal of Yulin Teachers College, 2010, 31(2): 23-25 |
| |
| Authors: | YE Fang-hui ZHAO Hai-kun |
| |
| Affiliation: | 1.Assistant,Dept.of Mathematics ＆ Computer Science,Yulin Normal college,Yulin,Guangxi 537000)(2.PhD,Dept.of Mathematics ＆ Computer Science,Nanjing University of Information Science and Technology,Nanjing,Jiangsu 210044) |
| |
| Abstract: | Based on the theory of cone,the super-and-sub-solution＇s monotonic iterative method and a class of operator＇s fixed point theory,this paper has discussed the existence of second order differential equation about a given reserve upper and lower solution. |
| |
| Keywords: | cone the fixed point periodic solution the upper and lower solution space the existence |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
