**K. Svanadze**

## Investigation of the First and the Second Exterior
Plane Boundary Value Problems of Steady State Oscillations in the Linear Theory
of Elastic Mixtures

**Abstract:**

Displacement vectors are represented by combinations of special potentials;
singular integral equations of the normal type with zero index are obtained for
the first and the second boundary value problem of steady oscillations in the
theory of elastic mixtures. It is proved that in the case of positive
frequencies the corresponding homogeneous singular integral equations have only
a trivial solution.

**Keywords:**

Boundary value problems, elastic mixtures, singular integral equation.

**MSC 2000:** 74F20, 74G25, 74G30