| Banach 空间中演化算子族的弱指数不稳定性 |
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| 引用本文： | 王淑莉,宋晓秋,岳田.Banach 空间中演化算子族的弱指数不稳定性[J].山东大学学报(自然科学版),2014(2):46-50. |
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| 作者姓名： | 王淑莉 宋晓秋 岳田 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州221116 |
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| 基金项目： | 中国矿业大学中央高校基本科研业务费专项基金（2012LWB53） |
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| 摘 要： | 给出了Banach空间中演化算子的弱指数不稳定性的概念、演化算子的弱指数不稳定性的一些性质以及判断演化算子族弱指数不稳定的充要条件。得到了稳定性理论中的经典结论在弱指数不稳定性下的变形。
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| 关 键 词： | 演化算子族 一致指数不稳定性 弱指数不稳定性 |
Banach function spaces and weak exponential instability of evolution families |
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| WANG Shu-li,SONG Xiao-qiu,YUE Tian.Banach function spaces and weak exponential instability of evolution families[J].Journal of Shandong University(Natural Science Edition),2014(2):46-50. |
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| Authors: | WANG Shu-li SONG Xiao-qiu YUE Tian |
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| Institution: | (School of Science, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China) |
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| Abstract: | The concept of weak exponential instability for evolution families in Banach spaces is presented.Some prop-erty of weak exponential expansiveness for evolution families and the necessary and sufficient conditions concerning the weak exponential instability are given in Banach spaces.Variants of Datko result for weak exponential instability of a well-known result from is obtained in the stability theory. |
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| Keywords: | evolution families uniform exponential instability weak exponential instability |
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