| 一类脉冲时滞微分方程解的吸引性 |
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| 引用本文： | 景冰清.一类脉冲时滞微分方程解的吸引性[J].太原科技大学学报,2012,33(3):231-235. |
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| 作者姓名： | 景冰清 |
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| 作者单位： | 山西大学商务学院理学系,太原,030031 |
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| 基金项目： | 山西省社科联重点课题项目(2010058) |
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| 摘 要： | 研究了一类一阶脉冲时滞微分方程周期解的吸引性。利用微分不等式的相关理论,证明了方程所有正解全局吸引于y*(t)的充分条件。当m=n时,结果即为已知文献的相关结论,推广了已有文献中的相关结果,具有一定的理论意义和较强的实际应用价值。
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| 关 键 词： | 脉冲 时滞微分方程 吸引性 微分不等式 正解 |
Attractivity of Solution for A Class of Impulsive Delay Differential Equations |
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| JING Bing-qing.Attractivity of Solution for A Class of Impulsive Delay Differential Equations[J].Journal of Taiyuan University of Science and Technology,2012,33(3):231-235. |
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| Authors: | JING Bing-qing |
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| Institution: | JING Bing-qing(Department of Mathematics,Business College of Shanxi University,Taiyuan 030031,China) |
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| Abstract: | The attractivity of periodic solution for a class of first order impulsive delay differential equations was discussed,the sufficient conditions of all positive solutions globally attracting to y*(t)were obtained by using the theory of differential inequality.When m=n,the results are the same as those of the given references.The results extend the corresponding known results in literature and provide more application values. |
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| Keywords: | impulsive delay differential equation attractivity differential inequality positive solution |
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