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延安大学数学与计算机科学学院
纸质出版:2013
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常胜伟, 刘瑞. 双连续n次积分C-半群的Trotter-Kato逼近定理[J]. 中北大学学报(自然科学版), 2013,34(4):363-366.
常胜伟, 刘瑞. Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups[J]. 2013, 34(4): 363-366.
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.
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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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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