Some boundary problems for matrix functions

The article deals with boundary value problems for matrix functions, which are a new interpretation of problems for systems of partial differential equations, investigated earlier by the author. This class contains the Riemann-Hilbert problem with discontinuous boundary conditions for system of Cauchy-Riemann equations, analogs of this problem for the system of Moisil-Theodoresco’s equations and for a system of equations in four-dimensional space derived from conditions of quaternion functions differentiability. These problems are studied for the non-classical systems of equations.