BOUNDARY INTEGRAL-EQUATION METHOD IN THE STEADY-STATE OSCILLATION PROBLEMS FOR ANISOTROPIC BODIES

The three-dimensional steady state oscillation problems of the elastic ity theory for homogeneous anisotropic bodies are studied. By means of the limiting absortion principle the fundamental matrices maximally d ecaying at infinity are constructed and the generalized Sommerfeld-Kup radze type radiation conditions are formulated. Special functional spa ces are introduced in which the basic and mixed exterior boundary valu e problems of the steady state oscillation theory have unique solution s for arbitrary values of the oscillation parameter. Existence theorem s are proved by reduction of the original boundary value problems to e quivalent boundary integral (pseudodifferential) equations.