Closed-Form Solvability of a Linear Conjugation Problem for Three-Dimensional Piecewise Analytic Vector

Abstract

© 2020, Allerton Press, Inc. We consider a three-dimensional Riemann boundaryvalue problem which has two particular solutions such that, forone of the components, the ratios of the boundary values coincideon the conjugation contour. It is shown that, under certainrestrictions on the elements of the matrix coefficient of theproblem, its general solution can be obtained in a closed form.