| 摘要: |
| 本文研究了三阶非线性时滞微分方程解的渐近稳定性. 利用Lyapunov 泛函, 得到了微分方程的零解是渐进稳定的, 这一结果推广了文献[2] 的结果. |
| 关键词: 时滞微分方程 渐近稳定 Lyapunov泛函 |
| DOI： |
| 分类号:O175.13 |
| 基金项目:广西民族大学校级科研项目(2011MDYB034);广西教育厅一般项目(2013YB074);国家民委项目(12GXZ001) |
|
| ASYMPTOTIC STABILITY OF A CERTAIN THIRD-ORDER DELAY DIFFERENTIAL EQUATION |
|
ZHAO Jing, DENG Yan-ping
|
|
School of Science, Guangxi University for Natinonalities, Nanning 530006, China
|
| Abstract: |
| In this paper, we study the asymptotic stability of zero solution of the third-order nonlinear delay differential equation. By defining a Lyapunov function, we obtain that the zero solution of the differential equation is asymptotic stable, which extends the results in [2]. |
| Key words: delay differential asymptotical stability Lyapunov function |
