| 一类具脉冲时滞微分方程解的渐近性 |
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| 引用本文： | 刘兴元,唐爱民.一类具脉冲时滞微分方程解的渐近性[J].邵阳学院学报(自然科学版),2008,5(2):7-10. |
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| 作者姓名： | 刘兴元 唐爱民 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南,邵阳,422000 |
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| 摘 要： | 本文考虑脉冲时滞微分方程{x＇（t）＋a（t）x（t）＋f（t,x（t-τ））=0,1≥0,t≠tk, x（t＇k）-x（tk）=bkx（tk）,k∈N,获得了方程每一解x（t）满足limt→∞x（t）=0的充分条件．
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| 关 键 词： | 时滞微分方程 脉冲 渐近性 充分条件 |
Asymptotic Behavior of Solutions to a Sort of Impulsive delay differential equations |
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| LIU Xing-Yuan,TANG Ai-min.Asymptotic Behavior of Solutions to a Sort of Impulsive delay differential equations[J].Journal of Shaoyang University:Science and Technology,2008,5(2):7-10. |
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| Authors: | LIU Xing-Yuan TANG Ai-min |
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| Institution: | (Dept. of Sci. and Inform. Shaoyang Univ., Shaoyang, Hunan 422000) |
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| Abstract: | Considering the delay differential equation with impulsives{x＇（t）＋a（t）x（t）＋f（t,x（t-τ））=0,1≥0,t≠tk, x（t＇k）-x（tk）=bkx（tk）,k∈N,we obtain some sufficient conditions that guarantee every solution to equation converging to zero. |
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| Keywords: | delay differential equations Asymptotic Behavior impulsive sufficient conditions |
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