关于积分C半群  

On the Integrated C-semigroups

作　　者：郑权[1] 雷岩松[2] 

机构地区：[1]华中理工大学数学系 [2]中国地质大学

出　　处：《华中理工大学学报》1992年第5期181-187,共7页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金资助项目

摘　　要：本文研究C具非稠值域时的积分C半群,得到一些基本结果,主要包括积分C半群生成定理的Laplace刻划、积分C半群与C半群的联系、有界扰动定理及抽象Cauchy问题的应用.The integrated C-semigroup useful to the study of C-semigroups when the range of C is not dense was introduced by Miyadera in 1988. In this paper, some results concerning integrated C-semigroups are obtained, including a generation theorem in terms of the Laplace transform, the relations between C-semigroups and integrated C-semigroups, two bounded perturbation theorems and the application to abstract Cauchy problems.

关 键 词：C半群 积分C半群 有界扰动定理 

分 类 号：O152.7[理学—数学]