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关于 C 半群与积分半群的乘积扰动
引用本文:万建平. 关于 C 半群与积分半群的乘积扰动[J]. 华中科技大学学报(自然科学版), 1997, 0(Z1)
作者姓名:万建平
作者单位:Wan Jianping Dept. of Math.,HUST,Wuhan 430074,China.
摘    要:研究指数有界C半群的乘积扰动问题,并借助C半群与积分半群的关系,得到了n阶积分半群的相应结果

关 键 词:C半群;n阶积分半群;乘积扰动

On the Product Perturbation of Exponentially Bounded C Semigroups and Integrated Semigroups
Wan Jianping Dept. of Math.,HUST,Wuhan ,China.. On the Product Perturbation of Exponentially Bounded C Semigroups and Integrated Semigroups[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1997, 0(Z1)
Authors:Wan Jianping Dept. of Math.  HUST  Wuhan   China.
Affiliation:Wan Jianping Dept. of Math.,HUST,Wuhan 430074,China.
Abstract:The theory of C semigroups and n th order integrated semigroups has been studied lately by many authors and the bounded perturbation theorems for C semigroups and n th order integrated semigroups have been given by Kellermann H. and Zheng Q. The aim of this paper is to prove the product perturbation theorems for the C semigroups and to prove the same theorems for the n th order integrated semigroups by making use of the relations between the two semigroups. The product perturbation theorems are the basic theory of semigroups involving a good many applications.
Keywords:C semigroups  n th order integrated semigroups  product perturbation  
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