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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 5, Pages 783–791
DOI: https://doi.org/10.7868/S0044466913050104 (Mi zvmmf9858) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multiplicity of eigenvalues in certain boundary value problems for the Helmholtz equation

V. A. Malakhov, A. V. Nazarov, A. S. Raevskii, S. B. Raevskii

Nizhny Novgorod State Technical University
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DOI: https://doi.org/10.7868/S0044466913050104
Abstract: Boundary value problems for two-layer cylindrical waveguides (namely, for a circular two-layer closed waveguide and a dielectric waveguide in an unbounded medium) are considered. It is shown that the same eigenvalues determining the wave numbers of waves in the waveguides can correspond to different solutions of the boundary value problem.
Key words: adjoint solutions, complex waves, dispersion equation, eigenvalues, wave numbers, boundary value problems for Helmholtz’s equation.
Received: 04.07.2012
Revised: 10.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 5, Pages 616–624
DOI: https://doi.org/10.1134/S0965542513050096
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Malakhov, A. V. Nazarov, A. S. Raevskii, S. B. Raevskii, “Multiplicity of eigenvalues in certain boundary value problems for the Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 783–791; Comput. Math. Math. Phys., 53:5 (2013), 616–624
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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