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

Authors :
Shestopalov, Y. V.
Smolkin, E.
Kuzmina, E.
Source :
Lobachevskii Journal of Mathematics; Oct2018, Vol. 39 Issue 8, p1117-1129, 13p
Publication Year :
2018

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19950802
Volume :
39
Issue :
8
Database :
Complementary Index
Journal :
Lobachevskii Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
132460117
Full Text :
https://doi.org/10.1134/S1995080218080097