**L. Giorgashvili, G. Karseladze, G. Sadunishvili, and Sh. Zazashvili**

##
The Boundary Value Problems of Stationary Oscillations in the Theory of
Two-Temperature Elastic Mixtures

**abstract:**

We derive Green's formulas for the system of differential equations of
stationary oscillations in the theory of elastic mixtures, which enable us to
prove the uniqueness theorems for solutions of the boundary value problems. The
jump formulas for single and double-layer potentials are derived. Using the
theories of potentials and integral equations the existence of solutions is
proved.

**Mathematics Subject Classification:** 74A15, 75F20, 74H25, 74B10

**Key words and phrases:** Composite body, theory of mixtures, fundamental
matrix, metaharmonic function