Klen I. The method of p-analytic functions in boundary value problems for elliptic systems of differential equations.

The thesis devoted to elaboration of constructive efficient tools for solving of boundry value problems for one a class of elliptic systems of partial differential equations based on the mathod of p-analytic functions (р=хк, к=сons› o). For the first time the integral representations of p-analytic fynctions (р=хк, к=сons› o) via bounday value of analytic functions for some finite and infonote domains has been obtained. A new efficient technique for soving of boundry value problems of p-analytic functions (р=хк, к=сons› o) in such domains as semi-circl, the right halt-plane whith a section, has been elaborated on the basis of these reperesentations. Different tyres of boundry conditions were examined for all these three domain. The elaborated technique was applied to sovinf of the spatial axisymmetric problem of the flow of a rotating spherical disk by viscous fluwd.