SOLUTION OF A CERTAIN BOUNDARY VALUE PROBLEM UNDER THE CONJUGATION CONDITIONS BY A METHOD OF THE THEORY OF LINEAR INTEGRAL EQUATIONS

摘要

Let E+ be a subspace xp > 0 of the p-dimensional Euclidean space of points x = (x1, x2,... , x_p),p ≥ 3. Nonintersecting hypersurfaces T~(j), j = l,n, divide E+ into n + 1 parts. Denote these parts by T~(j), j = l,n + 1. Domains T~(j) are bounded by the hypersurfaces F~(j-1_), F~(j), and by the characteristic hyperplane x_p = 0.