| α-次积分半群的Trotter-kato定理 |
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| 引用本文： | 郎开禄,杨光俊.α-次积分半群的Trotter-kato定理[J].数学季刊,1999,14(3). |
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| 作者姓名： | 郎开禄 杨光俊 |
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| 作者单位： | Lang Kailu(郎开禄) (Department of Mathematics，Chuxiong Normal College，Chuxiong，675000) Yang Guangjun(杨光俊) (Department of Mathematics，Yunnan University，Kunming，650091) |
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| 摘 要： | §１． ＩｎｔｒｏｄｕｃｔｉｏｎＷｈｅｎｗｅｉｎｔｅｇｒａｔｅｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ，ｗｅｃａｎｆｏｒｍｕｌａｔｅｍａｎｙｏｆｔｈｅｍａｓａｎａｂｓｔｒａｃｔＣａｕｃｈｙｐｒｏｂｌｅｍ．ＡｎａｔｕｒａｌｑｕｅｓｔｉｏｎｉｎｔｈｅｔｈｅｏｒｙｉｓｔｏｆｉｎｄｓｕｉｔａｂｌｅｃｏｎｄｉｔｉｏｎｓｕｎｄｅｒｗｈｉｃｈａｓｅｑｕｅｎｃｅｏｆａａｂｓｔｒａｃｔＣａｕｃｈｙｐｒｏｂｌｅｍ．ｕ′ｎ＝Ａｎｕｎ（ｔ），ｕｎ（０）＝ｘｎ，ｆｏｒｔ≥０，ｎ＝１，２，…ｉｎａｎａｒｂｔｉｒａｒｙＢａ…
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| 关 键 词： | α-times integrated semigroups |
Trotter-kato Theorems for an α-times Integrated Semigroups |
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| Lang Kailu,Yang Guangjun.Trotter-kato Theorems for an α-times Integrated Semigroups[J].Chinese Quarterly Journal of Mathematics,1999,14(3). |
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| Authors: | Lang Kailu Yang Guangjun |
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| Abstract: | In this paper,we discuss on the convergence and approximation of an α-times integrated semigroups. The Trotter-kato theorems for an α-times integrated semigroups are obtained. |
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| Keywords: | times integrated semigroups convergence appoximation |
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