| 具有时变位势的二阶方程的周期解 |
| |
| 引用本文： | 钱.具有时变位势的二阶方程的周期解[J].苏州大学学报(医学版),1999,15(2):6-13. |
| |
| 作者姓名： | 钱 |
| |
| 作者单位： | 苏州大学数学科学学院!苏州215006 |
| |
| 基金项目： | NSF of Jiangsu Province,China |
| |
| 摘 要： | 本文运用相平面方法，分析了具有时变位势和二阶方程的解的弹性性质，由此并应用Ｃａｐｉｅｔｔｏ，Ｍａｗｈｉｎ和Ｚａｎｏｌｉｎ的牢来得到的一个延拓定理，证明了具有时变位势的二队方程的周期解的存在性。
|
| 关 键 词： | 周期解 时变位势 延拓定理 二阶 微分方程 |
PERIODIC SOLUTIONS FOR SECOND ORDER EQUATIONS WITH TIMEDEPENDENT POTENTIAL |
| |
| Qian Dingbian.PERIODIC SOLUTIONS FOR SECOND ORDER EQUATIONS WITH TIMEDEPENDENT POTENTIAL[J].Journal of Suzhou University(Natural Science),1999,15(2):6-13. |
| |
| Authors: | Qian Dingbian |
| |
| Abstract: | in this paper, we proved the existence of periodic solutions for second order equation with time-dependent potential. Our approach based on some elastic properties of the solutions and a continuation theorem recently given by Capietto,Mawhin and Zanolin. |
| |
| Keywords: | Periodic solution time-dependent potential continuation theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
