Spectra of Nonselfadjoint Eigenvalue Problems for Elliptic Systems in Mathematical Models of the Wave Propagation in Open Waveguides

Y. V. Shestopalov; E. Smolkin; E. Kuzmina

doi:10.1134/S1995080218080097

Spectra of Nonselfadjoint Eigenvalue Problems for Elliptic Systems in Mathematical Models of the Wave Propagation in Open Waveguides

Authors: Shestopalov Y.V.¹, Smolkin E.², Kuzmina E.³
Affiliations:
1. University of Gävle
2. Penza State University
3. Moscow Technological University (MIREA)
Issue: Vol 39, No 8 (2018)
Pages: 1117-1129
Section: Article
URL: https://bakhtiniada.ru/1995-0802/article/view/203010
DOI: https://doi.org/10.1134/S1995080218080097
ID: 203010

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Abstract

Statements and analysis are presented of nonselfadjoint eigenvalue problems for elliptic equations and systems, including singular Sturm–Liouville problems on the line, that arise in mathematical models of the wave propagation in open metal-dielectric waveguides. Existence of real and complex spectra are proved and their distribution is investigated for canonical structures possessing circular symmetry of boundary contours.