Local C-semigroups and local C-cosine functions

被引：15

作者：

Gao, MC ^{[1
]}

机构：

[1] Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1999年 / 19卷 / 02期

关键词：

local C-semigroups; local C-cosine functions; asymptotic C-resolvent;

D O I：

10.1016/S0252-9602(17)30630-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：201 / 213

页数：13