| 广义算子半群渐近行为及其强弱稳定性 |
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| 引用本文： | 仓定帮,陈藏,葛世刚. 广义算子半群渐近行为及其强弱稳定性[J]. 中山大学学报(自然科学版), 2013, 52(2): 62-65 |
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| 作者姓名： | 仓定帮 陈藏 葛世刚 |
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| 作者单位： | 华北科技学院,北京,101601 |
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| 基金项目： | 国家自然科学基金资助项目，中央高校基本科研基金资助项目 |
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| 摘 要： | 首先给出了由Banach空间有界线性算子引导的广义算子半群的定义及其性质;其次研究广义算子半群的渐近表达式;最后研究了广义算子半群的强弱稳定性,给出了广义算子半群强弱稳定性等价的条件。
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| 关 键 词： | 广义算子半群 渐近行为 强稳定性 弱稳定性 |
| 收稿时间： | 2012-09-11; |
The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups |
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| CANG Dingbang , CHEN Cang , GE Shigang. The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2013, 52(2): 62-65 |
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| Authors: | CANG Dingbang CHEN Cang GE Shigang |
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| Affiliation: | (North China Institute of Science and Technology, Beijing 101601, China) |
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| Abstract: | First, the concept of generalized operator semigroups and some properties are given. Then by studying the stability of generalized operator semigroups, the asymptotic behavior representations for generalized operator semigroups are obtained. In addition, the equivalent conditions for strong stability and weak stability of generalized operator semigroups are also given. |
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| Keywords: | generalized operator semigroups asymptotic behavior strong stability weak stability |
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