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Asymptotic Distribution of Eigenfunctions and Eigenvalues of the Basic Boundary-Contact Oscillation Problems of the Classical Theory of Elasticity
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T. Burchuladze
Published/Copyright:
March 3, 2010
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.
Key words and phrases.: Carleman method; boundary-contact oscillation problems of elasticity; eigenfunctions and eigenvalues; asymptotic formulas for distribution; Green's tensor
Received: 1997-05-15
Published Online: 2010-03-03
Published in Print: 1999-April
© 1999 Plenum Publishing Corporation
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Articles in the same Issue
- Sufficient Conditions for the Oscillation of Bounded Solutions of A Class of Impulsive Differential Equations of Second Order with a Constant Delay
- Asymptotic Distribution of Eigenfunctions and Eigenvalues of the Basic Boundary-Contact Oscillation Problems of the Classical Theory of Elasticity
- Kan Extensions of Internal Functors. Algebraic Approach
- On the Integrability of Strong Maximal Functions Corresponding to Different Frames
- On the Vector Process Obtained by Iterated Integration of the Telegraph Signal
- A N. Bourbaki Type General Theory and the Properties of Contracting Symbols and Corresponding Contracted Forms
- Factorization Systems and Adjunctions
