| 一类时滞系统的解半群的范数连续性 |
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| 引用本文： | 王友强,蒋卫生.一类时滞系统的解半群的范数连续性[J].西南农业大学学报,2011,33(11). |
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| 作者姓名： | 王友强 蒋卫生 |
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| 作者单位： | 重庆大学数学与统计学院; |
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| 基金项目： | 重庆市自然科学基金资助项目(CSTC,2009BB3185) |
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| 摘 要： | 讨论了时滞线性系统的解半群的范数连续性,其方法是:在一个特定的相空间中,把时滞系统转化为无时滞的抽象柯西问题,再运用半群理论解决解半群的范数连续性.
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| 关 键 词： | 时滞系统 C0半群 范数连续性 |
Norm Continuity of Solution Semigroups for Linear Delay Systems |
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| WANG You-qiang,JIANG Wei-sheng College of Mathematics , Statistics,Chongqing University,Chongqing ,China.Norm Continuity of Solution Semigroups for Linear Delay Systems[J].Journal of Southwest Agricultural University,2011,33(11). |
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| Authors: | WANG You-qiang JIANG Wei-sheng College of Mathematics Statistics Chongqing University Chongqing China |
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| Institution: | WANG You-qiang,JIANG Wei-sheng College of Mathematics and Statistics,Chongqing University,Chongqing 400044,China |
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| Abstract: | This paper is concerned with the norm continuity of linear delay systems.Transforming the delay equation into an abstract Cauchy problem in a special phase space and then using the semigroup theory,we obtain the norm continuity of the delay semigroup for the linear delay systems. |
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| Keywords: | time-delay system C0 semigroup norm continuity |
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