Spectral symmetry of solutions of boundary value problems in Banach algebras

被引：0
|
作者：
Herzog, Gerd [1 ]
Kunstmann, Peer Ch [1 ]
机构：
[1] Karlsruhe Inst Technol KIT, Inst Anal, D-76128 Karlsruhe, Germany
来源：
ANNALES POLONICI MATHEMATICI | 2022年 / 128卷 / 01期
关键词：
boundary value problems; Banach algebras; symmetry;
D O I：
10.4064/ap210520-4-10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For Banach algebras A and solutions u : [0, 1] -> A of u ''(t) + f(u(t)) + lambda u'(t)(2) = 0, u(0) = 0, u(1) = 0, we prove symmetry of the spectrum sigma(u(t)), that is, sigma(u(t)) = sigma(u(1 - t)) for all t is an element of [0, 1], whenever sigma(u([0, 1])) lies in a cone of the complex plane.
引用
收藏
页码：39 / 48
页数：10
相关论文
共 50 条
12345