On local α-times integrated C-semigroups

被引：8
|
作者：
Li, Yuan-Chuan [1 ]
Shaw, Sen-Yen
机构：
[1] Natl Chung Hsing Univ, Dept Math Appl, Taichung 402, Taiwan
[2] Lunghwa Univ Sci & Technol, Grad Sch Engn, Tao Yuan 333, Taiwan
来源：
ABSTRACT AND APPLIED ANALYSIS | 2007年
关键词：
D O I：
10.1155/2007/34890
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents several characterizations of a local alpha- times integrated C- semigroup {T( t); 0 <= t < tau} by means of functional equation, subgenerator, and well- posedness of an associated abstract Cauchy problem. We also discuss properties concerning the nondegeneracy of T( center dot), the injectivity of C, the closability of subgenerators, the commutativity of T( center dot), and extension of solutions of the associated abstract Cauchy problem. Copyright (c) 2007 Y.- C. Li and S.- Y. Shaw.
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页数：18
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