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| 退化C_0-半群族的指数稳定性 | |
| 引用本文： | 葛照强,朱广田,冯德兴.退化C_0-半群族的指数稳定性[J].数学学报,2011,54(1):89-96. |
| 作者姓名： | 葛照强 朱广田 冯德兴 |
| 作者单位： | 1. 西安交通大学应用数学系 西安 710049; 2. 中国科学院数学与系统科学研究院 北京 100190 |
| 基金项目： | 国家自然科学基金资助项目(60674018) |
| 摘 要： | 首先,应用泛函分析和算子理论在Hilbert空间中得到了关于退化C_0-半群指数稳定的充分必要条件.然后,讨论了退化C_0-半群族的指数稳定性问题,应用退化C_0-半群理论给出了充分必要条件. |
| 关 键 词： | 指数稳定 退化C_0-半群族 Hilbert空间 |
| 收稿时间： | 2010-01-24 |
| 修稿时间： | 2010-07-23 |
Exponential Stability for a Family of Degenerate C0-Semigroup |
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| Zhao Qiang GE.Exponential Stability for a Family of Degenerate C0-Semigroup[J].Acta Mathematica Sinica,2011,54(1):89-96. | |
| Authors: | Zhao Qiang GE |
| Institution: | 1. Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R. China; 2. Academy of Mathematics and Systems Science, Chinese Academy of Science Beijing 100190, P. R. China |
| Abstract: | First of all, the necessary and sufficient conditions concerning the exponential stability of degenerate C0-semigroup are obtained via functional analysis and operator theory in Hilbert space. Then, the exponential stability for a family of degenerate C0-semigroup is discussed, the necessary and sufficient conditions are given in the light of degenerate C0-semigroup. |
| Keywords: | exponential stability " target="_blank">C0-semigroupzz')" href="#"> family of degenerate C0-semigroup Hilbert space |
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