Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 1, Pages 11–27
DOI: https://doi.org/10.17377/PAM.2018.18.2 (Mi vngu460) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ray method and questions of identification of the elasticity theory equations

Yu. E. Anikonovab, N. B. Ayupovaab, M. V. Neshchadimab

a Sobolev Institute of Mathematics SB RAS, 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia
b Novosibirsk State University, 1, Pirogova St., Novosibirsk 630090, Russia
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DOI: https://doi.org/10.17377/PAM.2018.18.2
Abstract: We use algebro-analytical methods to establish numerous connections in finite and infinte variants between amplitudes, coefficients, and source functions for dynamical systems of elasticity theory.
Keywords: ray method, elasticity theory equations, identification problems.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0010
Russian Foundation for Basic Research 15-01-00745_а
Yu. E. Anikonov was supported by RAS presidium’s program “Numerical tomography of inhomogeneous and anisotropic media” (project No. 0314-2015-0010). N. B. Ayupova was supported by the Russian Foundation for Basic Research (project No. 15-01-00745).
Received: 31.03.2017
English version:
Journal of Mathematical Sciences, 2020, Volume 246, Issue 6, Pages 738–754
DOI: https://doi.org/10.1007/s10958-020-04777-2
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. E. Anikonov, N. B. Ayupova, M. V. Neshchadim, “Ray method and questions of identification of the elasticity theory equations”, Sib. J. Pure and Appl. Math., 18:1 (2018), 11–27; J. Math. Sci., 246:6 (2020), 738–754
Citation in format AMSBIB
\Bibitem{AniAyuNes18}
\by Yu.~E.~Anikonov, N.~B.~Ayupova, M.~V.~Neshchadim
\paper Ray method and questions of identification of the elasticity theory equations
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 1
\pages 11--27
\mathnet{http://mi.mathnet.ru/vngu460}
\crossref{https://doi.org/10.17377/PAM.2018.18.2}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 246
\issue 6
\pages 738--754
\crossref{https://doi.org/10.1007/s10958-020-04777-2}
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    • This publication is cited in the following 1 articles:
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