双连续n次积分C-半群的Trotter-Kato逼近定理  

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

作　　者：常胜伟[1] 刘瑞[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《中北大学学报（自然科学版）》2013年第4期363-366,共4页Journal of North University of China(Natural Science Edition)

基　　金：延安大学自然科学专项基金项目(YD2011-07);延安大学专项基金项目(YD2008-21)

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.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 times integrated C-semigroups sequence is obtained, and the general Trotter-Kato theorem is given. continuous n- approximation

关 键 词：双连续n次积分C-半群 等度连续 收敛 Trotter-Kato逼近 

分 类 号：O177.1[理学—数学]