| 一类三阶中立型时滞微分方程的渐近稳定性 |
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| 引用本文： | 董彪,何永春.一类三阶中立型时滞微分方程的渐近稳定性[J].数学的实践与认识,2014(2). |
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| 作者姓名： | 董彪 何永春 |
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| 作者单位： | 阿坝师范高等专科学校数学系;阿坝师范高等专科学校图书馆; |
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| 基金项目： | 四川省教育厅自然科学基金(12ZB168,13ZA0040);阿坝师专重点课题(ASA12-22,ASC12-28) |
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| 摘 要： | 讨论了一类三阶中立型时滞微分方程的零解的渐近稳定性,借助于构造函数、推广的Halanay一维时滞微分不等式及泰塔格利亚公式,得到了判定其零解是渐近稳定的且与时滞无关的一个充分条件.
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| 关 键 词： | 中立型微分方程 零解 时滞 渐近稳定性 |
Asymttotic Stability of a Class of Third-order Neutral Delay Differentinal Equations |
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| Abstract: | In this paper,the asymptotic stability of the zero solution about a class of thirdorder neutral delay differential equation is studied by using the method of constructing function and the generalized one-dimensional Halany delay differential inequality and Taita Anglia formula.A sufficient condition which is independent from the time-delay to ensure the asymptotic stability of zero solution is established. |
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| Keywords: | neutral differential equation zero solution time-delay asymptotic stability |
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