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Asymptotic Distribution of Eigenelements of the Basic Two-Dimensional Boundary-Contact Problems of Oscillation in Classical and Couple-Stress Theories of Elasticity
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T. Burchuladze
Published/Copyright:
February 18, 2010
Abstract
The basic boundary-contact problems of oscillation are considered for a two-dimensional piecewise-homogeneous isotropic elastic medium bounded by several closed curves. Asymptotic formulas for the distribution of eigenfunctions and eigenvalues of the considered problems are derived using the correlation method.
Key words and phrases.: Oscillation of piecewise-homogeneous isotropic elastic medium; asymptotic distribution of eigenelements; Carleman method
Received: 1998-06-16
Published Online: 2010-02-18
Published in Print: 2000-March
© Heldermann Verlag
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Articles in the same Issue
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- Asymptotic Distribution of Eigenelements of the Basic Two-Dimensional Boundary-Contact Problems of Oscillation in Classical and Couple-Stress Theories of Elasticity
- New Proofs of Two-Weight Norm Inequalities for the Maximal Operator
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- Qualitative Investigation of Two-Dimensional Chua's System
Keywords for this article
Oscillation of piecewise-homogeneous isotropic elastic medium;
asymptotic distribution of eigenelements;
Carleman method
Articles in the same Issue
- On Fourier Coefficients of Functions of Generalized Wiener Class
- Asymptotic Distribution of Eigenelements of the Basic Two-Dimensional Boundary-Contact Problems of Oscillation in Classical and Couple-Stress Theories of Elasticity
- New Proofs of Two-Weight Norm Inequalities for the Maximal Operator
- Convergent Rearrangements of Series of Vector-Valued Functions
- On the Convergence and Summability of N-Dimensional Fourier Series with Respect to the Walsh–Paley Systems in the Spaces LP([0, 1]N), p ∈ [1, + ∞]
- A Direct Boundary Integral Method for a Mobility Problem
- Unconditional Convergence of Random Series and the Geometry of Banach Spaces
- Quasi-Linearisation Methods for a Non-Linear Heat Equation with Functional Dependence
- On State Space Representations of AR-Models
- On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations
- On the Ito formula in a Banach Space
- On the Rearranged Block-Orthonormal Systems
- Classification of Singularities at Infinity of Polynomials of Degree 4 in Two Variables
- Qualitative Investigation of Two-Dimensional Chua's System