| 一类三阶时滞微分方程解的渐进稳定性 |
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| 引用本文： | 赵静,邓艳平. 一类三阶时滞微分方程解的渐进稳定性[J]. 数学杂志, 2014, 34(2): 319-323 |
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| 作者姓名： | 赵静 邓艳平 |
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| 作者单位： | 广西民族大学理学院, 广西 南宁 530006,广西民族大学理学院, 广西 南宁 530006 |
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| 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) |
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| 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.
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| 关 键 词： | 时滞微分方程 渐近稳定 Lyapunov泛函 |
| 收稿时间： | 2012-06-29 |
| 修稿时间： | 2013-01-14 |
ASYMPTOTIC STABILITY OF A CERTAIN THIRD-ORDER DELAY DIFFERENTIAL EQUATION |
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| ZHAO Jing and DENG Yan-ping. ASYMPTOTIC STABILITY OF A CERTAIN THIRD-ORDER DELAY DIFFERENTIAL EQUATION[J]. Journal of Mathematics, 2014, 34(2): 319-323 |
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| Authors: | ZHAO Jing and DENG Yan-ping |
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| Affiliation: | School of Science, Guangxi University for Natinonalities, Nanning 530006, China and School of Science, Guangxi University for Natinonalities, Nanning 530006, China |
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| 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]. |
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| Keywords: | delay differential asymptotical stability Lyapunov function |
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