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References (11)
-
D. G. Natroshvili (1978)
Estimation of Green's tensors of the theory of elasticity and some of their applications -
T. V. Burchuladze (1959)
On the asymptotic behavior of eigenfunctions of some boundary value problems of an anisotropic elastic bodySoobshch. Akad. Nauk Gruz. SSR, 23
-
M. Svanadze (1996)
Asymptotic behavior of eigenfunctions and eigenfrequiencies of oscillation boundary value problems of the linear theory of elastic mixturesGeorgian Math. J., 3
-
V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, T. V. Burchuladze (1979)
North-Holland series in applied mathematics and mechanics -
L. Jentsch (1977)
Abh. d. Sächs. Akad. d. Wiss. Leipzig -
A. Plejel (1940)
Proprietes asymptotiques des fonctions et vareurs propres de certains problems de vibrationsArkiv für Math., Astr. Och Fysik., 27A
-
T.V. Burchuladze (1957)
To the theory of boundary value problems of oscillation for an elastic bodyTrudy Tbiliss. Gos. Univ., Mat. Mekh. Astron., 64
-
T. Burchuladze, R. Rukhadze (1995)
The Fourier method in three-dimensional boundary-contact dynamic problems of elasticityGeorgian Math. J., 2
-
D. G. Natroshvili, A. Y. Jagmaidze (1978)
Dynamic problems of the classical theory of elasticity for piecewise-homogeneous bodies -
G. Hardy, I. Littlewood (1914)
Tauberian theorems concerning power series and Dirichlet series whose coefficients are positiveProc. Lond. Math. Soc., 2
-
R. G. Dikhamindzhia (1983)
Asymptotic distribution of eigenfunctions and eigenvalues of some basic problems of vibration of the moment theory of elasticityTrudy Tbiliss. Mat. Inst. Razmadze, 73
- Publisher
- Springer Journals
- Copyright
- Copyright © 1999 by Plenum Publishing Corporation
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1072-947X
- eISSN
- 1572-9176
- DOI
- 10.1023/A:1022120515407
- Publisher site
- See Article on Publisher Site
Abstract
The basic boundary-contact oscillation problems are considered for a three-dimensional piecewise-homogeneous isotropic elastic medium bounded by several closed surfaces. Using Carleman's method, the asymptotic formulas for the distribution of eigenfunctions and eigenvalues are obtained.
Journal
Georgian Mathematical Journal – Springer Journals
Published: Sep 30, 2004