Email this article 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
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Affiliations:
- University of Gävle
- Penza State University
- Moscow Technological University (MIREA)
- Issue: Vol 39, No 8 (2018)
- Pages: 1117-1129
- Section: Article
- URL: https://journals.rcsi.science/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.
About the authors
Y. V. Shestopalov
University of Gävle
Author for correspondence.
Email: yuyshv@hig.se
Sweden, Gävle, SE, 80176
E. Smolkin
Penza State University
Email: yuyshv@hig.se
Russian Federation, ul. Krasnaya 40, Penza, 440026
E. Kuzmina
Moscow Technological University (MIREA)
Email: yuyshv@hig.se
Russian Federation, pr. Vernadskogo 78, Moscow, 119454
