Investigating the Theory One Class of Three-Dimensional Integral Equation with Super-Singular Kernels by Tube Domain

Abstract

In this study, we focus one class of three-dimensional integral equation involving tube domains that are in power basis and lateral surface and way have super-singularity. In depend of the roots of the characteristic equations (2), (3) integral representation manifold solution is obtained in an explicit form. In the case, when parameters present in kernels, such that general solution integral equation contain arbitrary functions, invers formula is found. On basis obtained integral representation and its invers formula , in the case when general solution integral equation contain arbitrary functions, determined correct stand Dirichlet boundary valued problem and found its solution.