| 一阶脉冲微分方程解的存在性及稳定性 |
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| 引用本文： | 王军霞,王晓.一阶脉冲微分方程解的存在性及稳定性[J].南阳师范学院学报,2010,9(12):11-15. |
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| 作者姓名： | 王军霞 王晓 |
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| 作者单位： | 中国地质大学(武汉)数理学院; |
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| 摘 要： | 脉冲微分方程广泛地应用于理论力学、化学、生物学、医学、控制理论等诸多学科领域.近年来脉冲泛函微分方程解的存在性及稳定性的研究受到了越来越多的研究者的重视,普遍的方法是利用李亚普诺夫泛函方法和比较方法.利用迭代分析方法获得了一类非线性脉冲微分方程解的存在性和稳定性,结果表明,所讨论问题的解与时滞变量和脉冲条件密不可分.
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| 关 键 词： | 脉冲 时滞 存在性 稳定性 |
Existence and stability of one-order impulsive differential equation |
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| WANG Jun-xia,WANG Xiao.Existence and stability of one-order impulsive differential equation[J].Journal of Nanyang Teachers College,2010,9(12):11-15. |
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| Authors: | WANG Jun-xia WANG Xiao |
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| Institution: | WANG Jun-xia,WANG Xiao(School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China) |
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| Abstract: | Impulsive differential equations can be successfully used for mathematical simulation in theoretical physics,chemistry,biotechnology,medicine,population dynamics,optimal control,and in other processes and phenomena in science and technology.The stability theory of impulsive differential equations has been developed by a large number of mathematicians,and their studies have attracted much attention.They have been successful in different approaches based on Lyapunov direct method and comparison technique.In t... |
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| Keywords: | impulsive condition delay existence stability |
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