关于 C 半群与积分半群的乘积扰动  

On the Product Perturbation of Exponentially Bounded C Semigroups and Integrated Semigroups

作　　者：万建平 

出　　处：《华中理工大学学报》1997年第A01期102-105,共4页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金

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。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.

关 键 词：C半群 积分半群 乘积扰动 

分 类 号：O152.7[理学—数学]