Boundary-value problems of statics in the two-temperature elastic mixture theory for a half-space

The static case of the two-temperature elastic mixture theory is considered when partial displacements of the elastic components of the mixture are equal to each other. The formula obtained for the representation of a general solution of a homogeneous system of differential equations is expressed in terms of four harmonic functions and one metaharmonic function. The uniqueness theorem for a solution is proved. Solutions are obtained in quadratures by means of boundary functions.