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| 时标上具有正负系数的中立型时滞动力方程的稳定性 | |
| 引用本文： | 杨军,陈雁东,张忠军,张波. 时标上具有正负系数的中立型时滞动力方程的稳定性[J]. 黑龙江大学自然科学学报, 2012, 29(2): 160-164,168 |
| 作者姓名： | 杨军 陈雁东 张忠军 张波 |
| 作者单位： | 1. 燕山大学理学院,秦皇岛 066004;河北省数学研究中心,石家庄 050000 2. 广灵县第一中学校,大同,037500 3. 燕山大学理学院,秦皇岛,066004 |
| 基金项目： | 国家自然科学基金资助项目，河北省自然科学基金数学研究专项资助项目，秦皇岛市科技支撑计划项目 |
| 摘 要： | 根据时标特点—统一连续分析和离散分析,考虑时标上的一类具有正负系数的中立型时滞动力方程的稳定性问题。运用时标的微积分基本理论和Cauchy-Schwarz等重要不等式,避免构造Lyapunov函数的复杂性,利用32稳定性的方法,获得该系统一致稳定性及渐近稳定性的充分条件,所得结论统一并包含了已有成果。 |
| 关 键 词： | 时标 中立型时滞动力方程 正负系数 一致稳定性 渐近稳定性 |
Stability of neutral delay dynamic equations with positive and negative coefficients on time scales |
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| YANG Jun , CHEN Yan-dong , ZHANG Zhong-jun , ZHANG Bo. Stability of neutral delay dynamic equations with positive and negative coefficients on time scales[J]. Journal of Natural Science of Heilongjiang University, 2012, 29(2): 160-164,168 | |
| Authors: | YANG Jun CHEN Yan-dong ZHANG Zhong-jun ZHANG Bo |
| Affiliation: | 1 (1.College of Science,Yanshan University,Qinhuangdao 066004,China;2.Mathematics Research Center of Hebei Province,Shijiazhuang 050000,China;3.The First Middle School of Guang Ling County,Datong 037500,China) |
| Abstract: | According to the characteristics of the time scales-uniform continuous analysis and discrete analysis,consider the stability of neutral delay dynamic equations with positive and negative coefficients on time scales.When using the basic theory underlying calculus of time scalars,Cauchy-Schwarz inequality,the method of 3/2 stability and other important to avoid the complexity of construction Lyapunov function,the sufficient conditions for the uniform stability and the asymptotic stability of the system are obtained.The conclusion has been unified and contained the existing results. |
| Keywords: | time scales neutral delay dynamic equations positive and negative coefficients uniform stability asymptotic stability |
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