The Spectral Mapping Property of Delay Semigroups

被引：1
|
作者：
Batkai, Andras [1 ]
Eisner, Tanja [2 ]
Latushkin, Yuri [3 ]
机构：
[1] ELTE TTK, Dept Appl Anal & Computat Math, H-1117 Budapest, Hungary
[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
[3] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2008年 / 2卷 / 02期
基金：
美国国家科学基金会;
关键词：
C-0-semigroups; spectral mapping theorem; delay equations;
D O I：
10.1007/s11785-008-0052-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We offer a new way of proving spectral mapping properties of delay semigroups in L-p-history spaces with finitely many rationally depending delays based on an explicit construction of approximate eigenvectors. This allows us to provide proper generalizations of the existing spectral mapping theorems.
引用
收藏
页码：273 / 283
页数：11
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