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BOUNDEDNESS IN TERMS OF TWO MEASURES FOR IMPULSIVE DISCRETE SYSTEMS 被引量:1
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作者 Wu Haixia (College of Mathematics and Computer Science, Hebei University, Baoding 071002} Wang Peiguang (College of Electronic and Information Engineering, Hebei University, Baoding 071002) 《Annals of Differential Equations》 2006年第3期384-387,共4页
This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principl... This paper concerns a class of impulsive discrete systems and offers sufficient conditions of boundedness in terms of two measures for such systems, by employing vector Lyapunov functions and a new comparison principle. The result obtained generalizes those in known literatures. 展开更多
关键词 impulsive discrete systems boundedness in terms of two measures vector Lyapunov functions comparison principle upper quasi-monotone
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Razumikhin Type Boundedness Theorems in Terms of Two Measures for Impulsive Integro-differential Systems
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作者 Zhuo-ying L Yan-Lin ZHENG Lai-liang ZHANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第4期1007-1016,共10页
Some new direct criteria of boundedness in terms of two measures for impulsive integro-differential systems with fixed moments of impulse effects are established by Lyapunov functions coupled with Razumikhin techniques.
关键词 impulsive integro-differential system Lyapunov function boundedness in terms of two measures
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脉冲摄动微分系统的有界性
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作者 傅希林 王克宁 劳会学 《数学物理学报(A辑)》 CSCD 北大核心 2004年第2期135-143,共9页
通过利用变分 Lyapunov函数方法 ,该文主要研究了脉冲摄动微分系统关于两个测度的有界性 .与以前结果相比 ,不难发现变分 Lyapunov函数方法是 Lyapunov函数方法的推广 .
关键词 变分Lyapunov函数 比较定理 两个测度的有界性 摄动 脉冲
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时滞差分系统两种测度的有界性
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作者 张书年 《上海交通大学学报》 EI CAS CSCD 北大核心 2000年第4期567-570,共4页
对于有界时滞差分系统 ,通过李雅普诺夫泛函及通过李雅普诺夫函数结合勒茹米辛技巧 ,建立了藉助于两种测度的有界性结果 .
关键词 时滞差分系统 测度 一致有界性 一致最终有界性
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