Boundary problems with disconnected boundary conditions for some systems of the equations in particular derivatives

Resolvability in Sobolev space of Riemann-Hilbert and Poincare problems for Cauchy-Riemann systems of equations and their analogues in the form of some modeling systems of equations has been investigated. The boundary problem for extended Cauchy-Riemann system of equations which is in essence Rieman-Hilbert problem with disconnected conditions has been put and its unequivocal resolvability in Sovolev spaces has been proved. The question of the influence of a type of a system of equations on correct statement of similar problems has been investigated. Statement of Poincare problem with disconnected boundary conditions for Bitsadze system of equations of the second order has been given. Unequivocal resolvability of this problem is Sobolev spaces has been proved.