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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 116–136
(Mi znsl992)
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This article is cited in 2 scientific papers (total in 2 papers)
Analytical properties of the transitional admittances of an infinite plate for the boundary contact integrals regularization in two-dimensional problems of acoustic
D. P. Kouzov Saint-Petersburg State University
Abstract:
The condition of the possibility for the boundary contact integrals regularization in two-dimensional problems of
acoustic is considered. On an example of the simplest boundary contact problem of acoustics is shown, that the
known sufficient condition of this possibility is necessary as well. The study of analytical properties of the
transitional admittances of an infinite plate contacting with a medium are carried out for obtaining this statement.
The reviewings are carried out in the common terms, so the results are suitable for arbitrary used models of plates theory and can be adapted to boundary contact problems of other physical nature.
Received: 07.11.1998
Citation:
D. P. Kouzov, “Analytical properties of the transitional admittances of an infinite plate for the boundary contact integrals regularization in two-dimensional problems of acoustic”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 116–136; J. Math. Sci. (New York), 108:5 (2002), 721–735
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https://www.mathnet.ru/eng/znsl992 https://www.mathnet.ru/eng/znsl/v257/p116
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