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Abstract The mixed boundary value problem is considered for an anisotropic elastic body under the condition that a boundary value of the displacement vector is given on some part of the boundary and a boundary value of the generalized stress vector on the remainder. Using the potential method and the theory of singular integral equations with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is proved.
Georgian Mathematical Journal – de Gruyter
Published: Jun 1, 1999
Keywords: Theory of elasticity; potential method; mixed problem
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