| 关于变系数线性方程的稳定性 |
| |
| 引用本文： | 肖淑贤. 关于变系数线性方程的稳定性[J]. 系统科学与数学, 1996, 16(2): 149-158 |
| |
| 作者姓名： | 肖淑贤 |
| |
| 作者单位： | 华中理工大学数学系 |
| |
| 摘 要： | 本文给出了变系数线性方程有关稳定性的一些简洁的判据．对周期系数线性方程，给出了较为精确的渐近稳定性判据．从理论上解释了原先“冻结系数法”一般不能成立的原因．
|
| 关 键 词： | 变系数线性方程，稳定性，冻结系数方程 |
ON THE STABILITY OF LINEAR EQUATION WITH VARYING COEFFICIENTS |
| |
| XIAO SHU-XIAN. ON THE STABILITY OF LINEAR EQUATION WITH VARYING COEFFICIENTS[J]. Journal of Systems Science and Mathematical Sciences, 1996, 16(2): 149-158 |
| |
| Authors: | XIAO SHU-XIAN |
| |
| Affiliation: | Department of Mathematics, Huazhong University of Science and Technology,Wuahan 430074 |
| |
| Abstract: | in this paper, first, the stability of the linear equation with varying coefficients is investigated. Some simple criteria of stability are given. Secondly, for the linear equation with periodic coefficients one of the more exact criteria of asymptotic stability is given. Finally,the reason for the appearance of two kinds of results concerning the method of coefficiellts freezing is explained. |
| |
| Keywords: | Linear equation with varying coefficients stability exponential asymptotic stability equation with coefficients freezing |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
