| 关于积分C半群 |
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| 引用本文： | 郑权,雷岩松. 关于积分C半群[J]. 华中科技大学学报(自然科学版), 1992, 0(5) |
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| 作者姓名： | 郑权 雷岩松 |
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| 作者单位： | 华中理工大学数学系(郑权)，中国地质大学(雷岩松) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究C具非稠值域时的积分C半群,得到一些基本结果,主要包括积分C半群生成定理的Laplace刻划、积分C半群与C半群的联系、有界扰动定理及抽象Cauchy问题的应用.
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| 关 键 词： | C半群 积分C半群 有界扰动定理 抽象Cauchy问题 |
On the Integrated C-semigroups |
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| Zheng Quan Lei Yansong. On the Integrated C-semigroups[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1992, 0(5) |
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| Authors: | Zheng Quan Lei Yansong |
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| Affiliation: | Zheng Quan Lei Yansong |
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| Abstract: | The integrated C-semigroup useful to the study of C-semigroups when the range of C is not dense was introduced by Miyadera in 1988. In this paper, some results concerning integrated C-semigroups are obtained, including a generation theorem in terms of the Laplace transform, the relations between C-semigroups and integrated C-semigroups, two bounded perturbation theorems and the application to abstract Cauchy problems. |
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| Keywords: | C-semigroup integrated C-semigroup bounded perturbation the- orem abstract Cauchy problem |
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