| 二阶线性非共轭微分方程系解的有界性 |
| |
| 引用本文： | 郑礼星.二阶线性非共轭微分方程系解的有界性[J].福州大学学报(自然科学版),1986(3):22-31. |
| |
| 作者姓名： | 郑礼星 |
| |
| 作者单位： | 福建机电学校 |
| |
| 摘 要： | 根据Ｍ．Ｍａｒｉｎｉ和Ｐ．Ｚｅｚｚａ的工作［１］，如果二阶线性微分方程有一个Ａ类解有界，则一切 解有界。本文试图将该结论推广到二阶非共轭系统上去，得到相应的结论，即适当限制解在某一定点上的情形，类似的结论成立．
|
| 关 键 词： | 常微分方程 李雅普诺夫稳定性 有界性 |
ON BOUNDEDNESS OF THE SOLUTIONS OF A DISCONJUGATE LINEAR SYSTEM OF SECOND ORDER DIFFERENTIAL EQUATIONS |
| |
| Zheng Lixing.ON BOUNDEDNESS OF THE SOLUTIONS OF A DISCONJUGATE LINEAR SYSTEM OF SECOND ORDER DIFFERENTIAL EQUATIONS[J].Journal of Fuzhou University(Natural Science Edition),1986(3):22-31. |
| |
| Authors: | Zheng Lixing |
| |
| Institution: | The Mechanical and Electrical Engineering School of Fujian |
| |
| Abstract: | Based on M. Marini and P. Zezza(1), it holds that every solution of a second-order linear differential equation is bounded if there is one of its solu- tions of class A which is bounded. This paper is to obtain a generalization of this result for the disconjugate system of second-order equations. The similar result will be gained when the situation at some point of its soluti- ons is properly restricted. |
| |
| Keywords: | Ordinary Differential Equations Liapunov Stability Boundness |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《福州大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《福州大学学报(自然科学版)》下载免费的PDF全文 |
