Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups

常胜伟; 刘瑞

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Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups

更新时间：2026-09-14

- Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups
- 双连续n次积分C-半群的Trotter-Kato逼近定理
- Vol. 34, Issue 4, Pages: 363-366(2013)
- 作者机构：
  
  延安大学数学与计算机科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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常胜伟, 刘瑞. Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups[J]. 2013, 34(4): 363-366.
DOI：

常胜伟, 刘瑞. Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups[J]. 2013, 34(4): 363-366. DOI：

摘要

半群序列逼近有概率性型逼近

Laplace反演形式Trotter-Kato逼近等.结合积分半群逼近定理

双连续C-半群逼近定理

得到了双连续n次积分C-半群序列收敛的一个等价命题

并且给出了一般的Trotter-Kato逼近定理.

Abstract

Approximation of semigroup sequence includes probabilistic approximation

Trotter-Kato approximation of Laplace inversion form

etc.The approximation theorem of integrated semigroup and bi-continuous C-semigroups were combined

an equivalent proposition for converges of bi-continuous n-times integrated C-semigroups sequence is obtained

and the general Trotter-Kato approximation theorem is given.

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references

Zheng Quan.Perturbations and approximations of in-tegrate semigroups[J].Acta Mathematica Sinica,1993,9(3):252-260.

王文娟.指数有界的n次积分C-半群的逼近定理[J].安徽师范大学学报(自然科学版),2005,28(4):386.Wang Wenjuan.On the approximation of exponential-ly bounded n-times integrated C-semigroups[J].Jour-nal of Anhui Normal University(Natural Science),2005,28(4):386.(in Chinese)

Pazy A.Semigroups of Linear Operater and Applica-tion to Partial Differential Equation[M].New YorkBerlin Heidelberg Tokyo:Springer-Verlag,1983.

任灿,宋晓秋.双连续α次积分C-半群的概率逼近问题[J].黑龙江科技学院学报,2012,22(1):102-106.Ren Can,Song Xiaoqiu.Probabilistic approximationsfor bi-continuousα-times integrated C-semigroups[J].Journal of Heilongjiang Institute of Science and Tech-nology,2012,22(1):102-106.(in Chinese)

Baumer B,Neubrander F.Laplace transform methodsfor evolution equations[J].Conf.Sem.Math.Univ.Bar.,1994,259:27-60.

李慧敏,宋晓秋.双连续n次积分C余弦函数的逼近定理[J].应用泛函分析学报,2010,12(3):249-253.Li Huimin,Song Xiaoqiu.Approximation theorem forbi-continuous n-times integrated C-cosine functions[J].Acta Analysis Functionalis Applicata,2010,12(3):249-253.(in Chinese)

常胜伟,赵华新,王晓梦.指数有界双连续n次积分C-半群及其性质[J].西南民族大学学报(自然科学版),2008,34(1):15-19.Chang Shengwei,Zhao Huaxin,Wang Xiaomeng.Ex-ponentially bounded bi-continuous n-times integratedC-semigroups and properties[J].Journal of South-west University for Nationalities(Natural ScienceEdition),2008,34(1):15-19.(in Chinese)

常胜伟,赵华新.局部有界双连续n次积分C-半群的生成元及其性质[J].江西科学,2008,26(4):569.Chang Shengwei,Zhao Huaxin.The generator andproperties of locally bounded bi-continuous n-times in-tegrated C-semigroups[J].Jiangxi Science,2008,26(4):569.(in Chinese)

李玉霞,宋晓秋,蔡亮,等.指数有界双连续α次次积分C-半群的一个逼近[J].重庆工商大学学报(自然科学版),2012,29(2):13-16.Li Yuxia,Song Xiaoqiu,Cai Liang,et al.An approx-imation for exponential boundedα-times integrated bi-continuous C-semigroups[J].Journal of ChongqingTechnology and Business University(Natural ScienceEdition),2012,29(2):13-16.(in Chinese)

王文娟,孙国正.局部有界双连续C-半群及其逼近定理[J].数学杂志,2007,27(1):31-37.Wang Wenjuan,Sun Guozheng.Locally bounded bi-continuous C-semigrouphs and the approximationtheorem[J].Journal of Mathematics,2007,27(1):31-37.(in Chinese)

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