| 积分算子半群的逼近与表示 |
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| 引用本文： | 赵文强,宋树枝.积分算子半群的逼近与表示[J].重庆工商大学学报(自然科学版),2007,24(5):427-430. |
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| 作者姓名： | 赵文强 宋树枝 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 摘 要： | 研究积分算子半群的Yosida逼近,证明了积分算子半群可以表示为一簇一致连续算子半群积分的极限,获得了积分算子半群的一个表示公式.
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| 关 键 词： | 强压缩积分算子半群 Yosida逼近 表示 |
| 文章编号： | 1672-058X（2007）05-0427-04 |
| 收稿时间： | 2007-04-20 |
| 修稿时间： | 2007-06-10 |
Approximation and representation of integrated semigroups of operators |
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| ZHAO Wei-qiang,SONG Shu-zhi.Approximation and representation of integrated semigroups of operators[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2007,24(5):427-430. |
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| Authors: | ZHAO Wei-qiang SONG Shu-zhi |
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| Institution: | School of Science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | Yosida approximation of integrated operator semigroups is studied and that integrated operator semigroups can be represented as integral limit of a consistent cluster continual operrator semigroup is proved,as a result,a representative formula of integrated operator semigroups is obtained. |
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| Keywords: | strong-contraction integrated semigroups Yosida approximation representation |
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