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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 2, Pages 25–33 (Mi uzku1250)  
Determination of special eigenwaves as a result of amplitude measurements

A. V. Golovtsova, V. S. Mokeichevb

a Kazan (Volga Region) Federal University, Kazan, Russia
b Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: An analytical formula for a special wave, which allows one to calculate wave energy and vibration frequency (in case of a vibrating wave) and to find out a minimum amount of necessary measurements, is written out depending on the measured amplitude values. The direct and inverse problems are solved.
Keywords: wave equation, wave, direct and inverse problems.
Received: 11.12.2012
Document Type: Article
UDC: 517.2+517.928.4
Language: Russian
Citation: A. V. Golovtsov, V. S. Mokeichev, “Determination of special eigenwaves as a result of amplitude measurements”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 2, Kazan University, Kazan, 2014, 25–33
Citation in format AMSBIB
\Bibitem{GolMok14}
\by A.~V.~Golovtsov, V.~S.~Mokeichev
\paper Determination of special eigenwaves as a~result of amplitude measurements
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2014
\vol 156
\issue 2
\pages 25--33
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1250}
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