| 一类四阶中立型时滞微分方程的渐近稳定性 |
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| 引用本文： | 覃荣存,刘佳玉,冯春华.一类四阶中立型时滞微分方程的渐近稳定性[J].长春大学学报,2009,19(8):51-54. |
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| 作者姓名： | 覃荣存 刘佳玉 冯春华 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林541004 |
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| 基金项目： | 广西教育厅科研基金(200708LX163); 广西研究生教育创新计划项目(20081062071M234) |
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| 摘 要： | 利用构造函数、推广的HManay一维时滞微分不等式以及卡丹公式和费拉里的一元四次方程的求根公式，研究了一类四阶中立型时滞微分方程零解的渐近稳定性，得到一个判定其零解渐近稳定且与时滞无关的充分条件。
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| 关 键 词： | 中立型微分方程 时滞 零解 渐近稳定性 |
Asymptotic stability of a class of fourth-order neutral delay differential equations |
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| QIN Rong-cun,LIU Jia-yu,FENG Chun-hua.Asymptotic stability of a class of fourth-order neutral delay differential equations[J].Journal of Changchun University,2009,19(8):51-54. |
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| Authors: | QIN Rong-cun LIU Jia-yu FENG Chun-hua |
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| Institution: | QIN Rong-cun,LIU Jia-yu,FENG Chun-hua(College of Mathematics Science,Cuangxi Normal University,Guilin 541004,China) |
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| Abstract: | In this paper,the asymptotic stability of the zero solution about a class of fourth-order neutral delay differential equations is studied by using the method of constructing function and the generalized one-dimensional Halanay delay differential inequality,Cardan formula and Ferrari method of quartic equation.A suffcient 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 timedelay zero solution asymptotic stability |
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