指数有界的C余弦算子函数  

EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS

作　　者：郑权[1] 雷岩松[1] 

机构地区：[1]华中理工大学数学系

出　　处：《系统科学与数学》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

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.

关 键 词：C余弦算子函数 逼近定理 C半群 指数有界 

分 类 号：O177.4[理学—数学]