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.
出处
《华中理工大学学报》
CSCD
北大核心
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
关键词
C半群
积分C半群
有界扰动定理
C-semigroup
integrated C-semigroup
bounded perturbation the- orem
abstract Cauchy problem
