LOCAL C-SEMIGROUPS AND LOCAL C-COSINE FUNCTIONS  

作　　者：高明杵 

出　　处：《Acta Mathematica Scientia》1999年第2期201-213,共13页数学物理学报（B辑英文版）

基　　金：the National Natural Science Foundation of China,and the Natural Science Foundation of Shanxi Province and the Youth Scientific

摘　　要：This paper is concerned with the local C-semigroups and local C-cosine functions without the assumption that the image of C is dense in a Banach space X, First, the sufficient and necessary conditions for a local C-semigroup and a C-cosine function to be the restriction of a global C-semigroup and a global C-cosine function to an interval are given, respectively, Secondly, it is characterized for a closed operator to be the generator of a local C-semigroup and a local C-cosine function, respectively.This paper is concerned with the local C-semigroups and local C-cosine functions without the assumption that the image of C is dense in a Banach space X, First, the sufficient and necessary conditions for a local C-semigroup and a C-cosine function to be the restriction of a global C-semigroup and a global C-cosine function to an interval are given, respectively, Secondly, it is characterized for a closed operator to be the generator of a local C-semigroup and a local C-cosine function, respectively.

关 键 词：local C-semigroups local C-cosine functions asymptotic C-resolvent 

分 类 号：O177[理学—数学]