In this paper, we focus on a specific class of three-dimensional integral equations involving tube domains in power basis and lateral surface with super-singularity. The integral representation manifold solution is obtained in an explicit form based on the roots of the characteristic equations (2), (3). When parameters in kernels are present in such a way that the general solution integral equation contains arbitrary functions, The invers formula has been discovered. On the basis of the obtained integral representation and its invers formula, determined the correct stand Dirichlet boundary valued problem and found its solution in the case where the general solution integral equation contains arbitrary functions. The invers formula has been discovered. On the basis of the obtained integral representation and its invers formula, determined the correct stand Dirichlet boundary valued problem and found its solution in the case where the general solution integral equation contains arbitrary functions.**Author (S) DetailsNusrat Rajabov**Tajik National University, Research Institute, Dushanbe, Tajikistan.

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