| Banach空间中线性发展系统的指数稳定性及扰动问题 |
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| 引用本文： | 郑权.Banach空间中线性发展系统的指数稳定性及扰动问题[J].四川大学学报(自然科学版),1988(4). |
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| 作者姓名： | 郑权 |
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| 摘 要： | 本文首先讨论Banach空间中线性抛物型发展方程所生成的线性发展系统的指数稳定性,然后讨论在具有某种算子族的扰动时,这种线性抛物型发展方程所生成的线性发展系统的存在性和指数稳定性.最后给出了文5]结果的一个注记.
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| 关 键 词： | 发展方程 线性发展系统 扰动 指数稳定性 存在性 |
THE EXPONENTIAL STABILITY AND THE PERTURBATION PROBLEM OF LINEAR EVOLUTION SYSTEM IN BANACH SPACES |
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| Zheng Quan.THE EXPONENTIAL STABILITY AND THE PERTURBATION PROBLEM OF LINEAR EVOLUTION SYSTEM IN BANACH SPACES[J].Journal of Sichuan University (Natural Science Edition),1988(4). |
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| Authors: | Zheng Quan |
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| Abstract: | We discuss that (1) the exponential stability of linear evolution system generated by linear parabolic evolution equation in Banach spaces, (2) the exponential stability and the existence of linear evolution system generated by those equations when there is a perturbation of certain operator variety. Finally, we give a note for S. Rolewicz's result. |
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| Keywords: | evolution equation linear evolution system perturbation exponential stability existence |
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