| 一类脉冲泛函摄动微分系统的稳定性比较结果 |
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| 引用本文： | 曹丽燕,傅希林.一类脉冲泛函摄动微分系统的稳定性比较结果[J].山东师范大学学报(自然科学版),2014(2):1-4. |
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| 作者姓名： | 曹丽燕 傅希林 |
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| 作者单位： | 山东师范大学数学科学学院,济南250014 |
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| 基金项目： | 国家自然科学基金资助项目（11171192）;教育部博士点专项科研基金（博导类）项目（20123704110001）. |
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| 摘 要： | 考虑了一类脉冲泛函摄动微分系统,利用变分Lyapunov函数与Razumikhin技巧,通过与纯量的常微分系统作比较建立了一个变分比较原理,进而得到了系统关于两个测度的一致稳定的比较结果.
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| 关 键 词： | 脉冲泛函微分系统 变分Lyapunov函数 Razumikhin技巧 变分比较原理 稳定性 |
COMPARISON RESULTS OF STABILITY FOR ONE CLASS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH PERTURBATIONS |
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| Cao Liyan,Fu Xilin.COMPARISON RESULTS OF STABILITY FOR ONE CLASS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH PERTURBATIONS[J].Journal of Shandong Normal University(Natural Science),2014(2):1-4. |
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| Authors: | Cao Liyan Fu Xilin |
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| Institution: | 1.School of Mathematics Science,Shandong Normal University,250014 Jinan, China;) |
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| Abstract: | We study a class of impulsive functional differential systems with perturbations.We have established a variational comparison principle comparing with a scalar ordinary differential system by using variational Lyapunov functions and Razumikin techniques,then the comparative results of uniform stability in terms of two measures for the systems are acquired. |
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| Keywords: | impulsive functional differential system variational Lyapunov functions Raznmkhin techniques variational comparison principle stability |
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