| 广义C半群的指数公式与逼近 |
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| 引用本文： | 刘嫚,宋晓秋,廖大庆.广义C半群的指数公式与逼近[J].徐州师范大学学报(自然科学版),2007,25(3):32-34,39. |
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| 作者姓名： | 刘嫚 宋晓秋 廖大庆 |
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| 作者单位： | 1. 徐州空军学院,基础部,江苏,徐州,221006
2. 中国矿业大学,理学院,江苏,徐州,221008 |
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| 基金项目： | 江苏省自然科学基金;中国矿业大学校科研和教改项目 |
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| 摘 要： | 研究了广义半群的基本性质,给出广义半群的指数公式、Laplace反演表示公式,得到生成元不同的广义半群之间的关系及其逼近定理.
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| 关 键 词： | 广义C半群 生成元 指数公式 逼近 |
| 文章编号： | 1007-6573（2007）03-0032-03 |
| 修稿时间： | 2007-05-10 |
Exponential Formula and Approximation of Generalized C-Semigroups |
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| LIU Man,SONG Xiao-qiu,LIAO Da-qing.Exponential Formula and Approximation of Generalized C-Semigroups[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(3):32-34,39. |
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| Authors: | LIU Man SONG Xiao-qiu LIAO Da-qing |
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| Institution: | 1. Basic Department, Xuzhou Air Force College, Xuzhou, Jiangsu, 221006,China; 2. College of Science, China University of Mining and Technology, Xuzhou, Jingsu, 221008, China |
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| Abstract: | The basic properties of generalized semigroups are studied,the exponential formula,the representation formula with the inversion of Laplace transform of generalized semigroups are given.Because of the different generator,the relationship between generalized semigroups are obtained,and the approximation theory for generalized semigroups are also discussed. |
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| Keywords: | generalized C-semigroup generator exponential formula approximation |
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