Eigenvalues of two parameter polynomial operator pencils of waveguide type
type: Item
instance of: scholarly article
title: Eigenvalues of two parameter polynomial operator pencils of waveguide type
zbMATH Open document ID: 1114.47016
author: N. E. Zubov
published in: Integral Equations and Operator Theory
publication date: 2007-01-24T00:00:00Z
review text: This paper deals with the study of the spectral structure of two parameter unbounded operator pencils of waveguide type. Problems of this type arise in the analysis of some classes of differential operators. There are established several properties on energetic stability and variational principles associated to the real eigenvalues. Connections between the energetic stability and a related perturbation problem are also developed in the present paper.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 49R50
zbMATH DE Number: 5117987
zbMATH Keywords: waveguide
zbMATH Keywords: operator pencil
zbMATH Keywords: spectral sets and eigenvalues
zbMATH Keywords: variational principles
MaRDI profile type: Publication
full work available at URL: s00020-006-1429-1
OpenAlex ID: W1981493922
DOI: 10.1007/S00020-006-1429-1
description: scientific article; zbMATH DE number 5117987