摘要
本文引入了指数有界的Ｃ余弦算子函数的生成元，讨论了生成元的基本性质，建立了相应的生成定理、逼近定理及扰动定理．最后给出了指数有界的Ｃ余弦算子函数与指数有界的Ｃ半群的基本联系．
in this paper,the concept of the generator of an exponentially bounded Ccosine function is introduced.Basic properties,generation theorems,approximation theorems,and perturbation theorems for exponentially bounded C-cosine functions are given. Finally,the relationship between exponentially bounded C-cosine functions, exponentially bounded Csemigroups,and exponentially bounded intergrated cosine functions are obtained.
出处
《系统科学与数学》
CSCD
北大核心
1996年第3期242-252,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
关键词
C余弦算子函数
逼近定理
C半群
指数有界
C-cosine function of operators
generation theorem
approximation theorem
perturbation theorem
C-semigroup.
