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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 2, Pages 293–300 (Mi zvmmf40)  
This article is cited in 1 scientific paper (total in 1 paper)

The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides

A. N. Bogolyubov, M. D. Malykh, Yu. V. Mukhartova

Faculty of Physics, Moscow State University, Moscow, 119991, Russia
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Abstract: For a second-order inhomogeneous differential equation defined on the real axis and such that its right-hand side and solutions are functions in a Hilbert space, it is shown that the existence of a generalized Fourier transform of the solution is a correct radiation condition if the right-hand side is sufficiently smooth and compactly supported.
Key words: generalized Fourier transform, non-self-adjoint operator bundle, radiation condition, regular waveguide theory.
Received: 03.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 2, Pages 284–291
DOI: https://doi.org/10.1134/S0965542509020080
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. N. Bogolyubov, M. D. Malykh, Yu. V. Mukhartova, “The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009), 293–300; Comput. Math. Math. Phys., 49:2 (2009), 284–291
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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