Operator function method in the problem of normal waves in an inhomogeneous waveguide
type: Item
instance of: scholarly article
title: Operator function method in the problem of normal waves in an inhomogeneous waveguide
zbMATH Open document ID: 1414.78010
DOI: 10.1134/S0012266118090057
author: E. Yu. Smol'kin
author: Yu G. Smirnov
published in: Differential Equations
publication date: 2019-01-17T00:00:00Z
review text: The authors analyze mathematical properties of the eigenvalue problem solution for electromagnetic waves propagating in an inhomogeneous closed waveguide. Using the operator function method, they prove several theorems concerning the spectrum discreteness and completeness of the system of eigensolutions.
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78M22
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 7002853
zbMATH Keywords: waveguides
zbMATH Keywords: operator functions
zbMATH Keywords: eigenvalue problem
MaRDI profile type: Publication
cites work: Q3985220
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full work available at URL: s0012266118090057
OpenAlex ID: W2897616507
description: scientific article; zbMATH DE number 7002853