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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 7, Pages 1162–1177
DOI: https://doi.org/10.7868/S0044466913070065 (Mi zvmmf9829) 		 
Asymptotic distribution of the eigenvalues and eigenfunctions in basic boundary value oscillation problems in hemitropic elasticity

Yu. A. Bezhuashvili, R. V. Rukhadze

Georgian Technical University
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DOI: https://doi.org/10.7868/S0044466913070065
Abstract: The basic boundary value oscillation problems for a three-dimensional elastic medium bounded by a closed surface are considered. Asymptotic formulas are derived for the eigenvalue and eigenfunction distributions in the problems.
Key words: hemitropic elasticity problems, Carleman method, oscillation theory, asymptotic distributions of eigenvalues and eigenfunctions.
Received: 10.07.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 7, Pages 984–999
DOI: https://doi.org/10.1134/S0965542513070063
Bibliographic databases:
Document Type: Article
UDC: 519.63+517.958:539.3
Language: Russian
Citation: Yu. A. Bezhuashvili, R. V. Rukhadze, “Asymptotic distribution of the eigenvalues and eigenfunctions in basic boundary value oscillation problems in hemitropic elasticity”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1162–1177; Comput. Math. Math. Phys., 53:7 (2013), 984–999
Citation in format AMSBIB
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