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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 7, Pages 1162–1177 (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

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.

UDC: 519.63+517.958:539.3

Received: 10.07.2012

DOI: 10.7868/S0044466913070065


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:7, 984–999

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