| 依赖状态的脉冲微分系统关于部分变元的强稳定性 |
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| 引用本文： | 李宝麟,吴卫红.依赖状态的脉冲微分系统关于部分变元的强稳定性[J].佳木斯大学学报,2008,26(4). |
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| 作者姓名： | 李宝麟 吴卫红 |
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| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目
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甘肃省'555创新人才工程'资助项目
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西北师大科技创新工程资助项目 |
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| 摘 要： | 借助于常微分方程关于部分变元稳定性的研究方法和脉冲微分系统理论,利用逐段连续的Ljapunov函数研究依赖于状态的脉冲微分系统关于部分变元的强稳定性,建立了关于该类稳定性问题的一些判定定理,最后阐述了这些定理的应用.
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| 关 键 词： | 脉冲 微分系统 部分变元 强稳定性 |
Strong Stability in Terms of Part Variables for Impulsive Differential Systems with Variable Impulsive Perturbations |
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| LI Bao-lin,WU Wei-hong.Strong Stability in Terms of Part Variables for Impulsive Differential Systems with Variable Impulsive Perturbations[J].Journal of Jiamusi University(Natural Science Edition),2008,26(4). |
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| Authors: | LI Bao-lin WU Wei-hong |
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| Abstract: | In this paper,strong stability in terms of part variables for impulsive differential systems with variable impulsive perturbations is discussed.The methods of the stability analysis respect to part of the variables for ordinary differential equations and theory of impulsive differential systems are used to study such systems.By means of piecewise continuous Ljapunov functions,some theorems are established about the question on the stability.Finally as an application,the investigation of strong stability in terms of the variable for impulsive differential systems with variable impulsive perturbations is given. |
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| Keywords: | footnote size impulse differential equations partial variables strong stability |
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