On exponential h-expansiveness of semigroups of operators in Banach spaces

被引：6
|
作者：
Megan, M [1 ]
Pogan, A [1 ]
机构：
[1] Univ W, Dept Math, Timisoara 1900, Romania
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 02期
关键词：
semigroup of operators; h-exponential expansiveness; functionals on function spaces; functional on function spaces;
D O I：
10.1016/S0362-546X(02)00121-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces the concept of exponential h-expansiveness for semigroups of nonlinear operators, which is an extension of classical concept of exponential expansiveness. Following the idea of obtaining an unitary treatment for stability and expansiveness, necessary and sufficient conditions for exponential h-expansiveness are given. As particular cases, the variants for exponential expansiveness of some well-known stability results due to Datko, Pazy, Ichikawa, Rolewicz and Neerven are obtained. (C) 2002 Published by Elsevier Science Ltd.
引用
收藏
页码：545 / 556
页数：12
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