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
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.
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
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This publication is cited in the following 1 articles:
N. A. Bogolyubov, Yu. V. Mukhartova, “Spectral problem in a waveguide with homogeneous bi-isotropic filling”, Comput. Math. Math. Phys., 54:6 (2014), 977–983
Citation in format AMSBIB
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