Abstract
A system of equations of which the equations of elasticity and the Stokes equations of hydrodynamics are particular cases, is examined. Galerkin-type representations are constructed for this system with the aid of a matrix inversion technique. These representations give rise to the fundamental singular solution which together with a derived reciprocal relationship yield integral representations for the unknown parameters in the given system of equations. The integral representations lead in a natural way to the introduction of surface potentials whose properties are stated. Some well-known cases are deduced from our general results.
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