| Hilbert空间中C_o-半群族指数稳定性 |
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| 引用本文： | 徐瑞萍,高德智.Hilbert空间中C_o-半群族指数稳定性[J].应用泛函分析学报,2002(3). |
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| 作者姓名： | 徐瑞萍 高德智 |
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| 作者单位： | 青岛大学数学系，山东科技大学信息科学与工程学院 山东 青岛 266071，山东 泰安 271019 |
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| 摘 要： | 主要讨论了Hilbert空间中Co-半群族Th(t)指数稳定问题,证明了满足||Th(t)||≤Meσt(M,σ与h无关)的半群族Th(t)指数稳定与弱Lp-稳定是等价的,并且给出了另外的三个判定Th(t)指数稳定的等价条件.
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| 关 键 词： | Co-半群族 指数稳定 弱Lp-稳定 无穷小生成元 |
The Problem of the Exponential Stability of a Family of Co-Semigroups in Hilbert Space |
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| XU Rui-ping,GAO De-zhi.The Problem of the Exponential Stability of a Family of Co-Semigroups in Hilbert Space[J].Acta Analysis Functionalis Applicata,2002(3). |
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| Authors: | XU Rui-ping GAO De-zhi |
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| Institution: | XU Rui-ping,GAO De-zhi Department of Mathematics,Qingdao University,Qingdao 266071,China College of Information Science &. Technology,SUST,Taian 271019,China |
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| Abstract: | In this paper, we discuss the problem on exponential of a family {Th(t)} of strongly continuous semigroups in Hilbert space. We prove the exponential stability of {Th(t)} is equivalent to its weak Lp -stability of {Th(t)} and also give other three necessary and sufficient conditions on the exponential stability of {Th(t)}. |
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| Keywords: | family of cc -semigroups exponential stability weak Lp -stability the infinitesimal generator |
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