| 常系数齐次线性方程临界情形与零解不稳定的几则判据 |
| |
| 作者姓名： | 郭三美 刘光达 |
| |
| 作者单位： | 赣南师范学院数学系
(郭三美)，赣南师范学院数学系(刘光达) |
| |
| 摘 要： | 本文应用霍维茨(Hurwitz)行列式和霍维茨定理、给出了一些n次实系数多项式存在正实部根、均具有正实部根和存在零实部根的条件,从而为常系数齐次线性方程的零解不稳定性、是否属于临界情形提供了有用的判别依据。
|
| 关 键 词： | 临界情形 不稳定性 霍维茨定理 特征值 |
LYAPUNOV INSTABILITY CRITERIA AND CRITICAL CONDITION OF THE HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION WITH REAL COEFFICIENTS |
| |
| Authors: | Guo Sanmei Liu Guangda |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | Using Hurwitz determinant and Hurwitz theorem, some Lyaponov instabitity triteria and critical condi lions of the homogeneous linear differential equations wite. real coefficients have been given in this paper |
| |
| Keywords: | critical coadition instability Hurwitz theorem eigenvalue |
| 本文献已被 CNKI 等数据库收录！ |
