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Solution of a Nonclassical Problem of Oscillation of Two-Component Mixtures
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Levan Giorgashvili
Published/Copyright:
March 10, 2010
Abstract
A general representation of solutions by six metaharmonic functions is obtained for a system of homogeneous equations of oscillation of two-component mixtures. The boundary value problem of oscillation of two-component mixtures is investigated when the normal components of partial displacement vectors and the tangent components of partial rotation vectors are given on the boundary. Uniqueness theorems of the considered problem are proved. Solutions are obtained in terms of absolutely and uniformly convergent series.
Key words and phrases:: Elasticity theory; mixture theory; continual theory of mixtures; mataharmonic function; radiation condition
Received: 2004-10-21
Published Online: 2010-03-10
Published in Print: 2006-March
© Heldermann Verlag
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Keywords for this article
Elasticity theory;
mixture theory;
continual theory of mixtures;
mataharmonic function;
radiation condition
Articles in the same Issue
- A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
- Controllability of Sobolev Type Semilinear Functional Differential and Integrodifferential Inclusions with an Unbounded Delay
- Fixed Point Techniques and Stability for Neutral Nonlinear Differential Equations with Unbounded Delays
- Solution of a Nonclassical Problem of Oscillation of Two-Component Mixtures
- On the Fourier Expansions of Eisenstein Series of Some Types
- On the Full Transitivity of a Cotorsion Hull
- On Generating Relations Involving Generalized Gegenbauer Polynomials
- On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
- The Maximal Operator in Variable Spaces 𝐿 𝑝(·)(Ω, ρ) with Oscillating Weights
- A Rational Model for the Evaluation Map
- The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
- A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
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