Abstract
Methods of reducing dual series equations to infinite algebraic systems /1,2/ are used to study a mixed problem of the theory of elasticity concerning the torsion of a spherical layer by a spherical annular stamp. The inner or outer surface of this layer is rigidly clamped, and the stamps are coupled to the other surface of the layer. The resulting infinite algebraic systems of first kind are reduced, after the regularization, to the systems of second kind, and the latter can be solved using the method of consecutive approximations. Authors of /3,4/ used the same method to study certain dynamic problems of torsion of bodies with spherical surfaces.
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