| 一类线性脉冲微分系统的变差稳定性 |
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| 引用本文： | 李宝麟,王倩倩. 一类线性脉冲微分系统的变差稳定性[J]. 郑州大学学报(理学版), 2012, 0(2): 1-5 |
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| 作者姓名： | 李宝麟 王倩倩 |
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| 作者单位： | 西北师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目,编号11061031;甘肃省-555-创新人才工程资助项目;西北师范大学科技创新工程项目 |
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| 摘 要： | 利用Henstock积分、Lyapunov函数以及脉冲微分系统理论,讨论了一类带脉冲效应的线性微分系统有界变差解的稳定性,并建立了有界变差解的变差稳定性和渐近变差稳定性的Lyapunov型定理.
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| 关 键 词： | 线性脉冲微分系统 Henstock积分 Lyapunov函数 变差稳定性 |
Variational Stability for a Class of Linear Differential Systems with Impulses |
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| LI Bao-lin,WANG Qian-qian. Variational Stability for a Class of Linear Differential Systems with Impulses[J]. Journal of Zhengzhou University(Natrual Science Edition), 2012, 0(2): 1-5 |
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| Authors: | LI Bao-lin WANG Qian-qian |
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| Affiliation: | (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | By using the Henstock integral,Lyapunov function and the theory of impulsive differential system,the variational stability of bounded variation solutions for a class of linear differential systems with impulses was discussed,and the Lyapunov type theorems for variational stability and asymptotically variational stability of bounded variation solutions were established. |
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| Keywords: | linear differential system with impulse Henstock integral Lyapunov function variational stability |
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