The arrangement of local coordinate systems with the origin in two vertexes was accepted when constructing the arbitrary triangular pyramidal block element. Three systems were aggregated in one of these vertexes and the remaining main system had the origin in the separate vertex of the triangular pyramid. It was also accepted that the third axis of local coordinate systems in all systems was directed along the external normal to corresponding faces, while the other two axes lied in their planes. It was considered that the triangular pyramid ω was the result of division of the region of larger sizes into block elements, for which edge problem was stated. The edge problem for each local coordinate system was also written to construct the pseudodifferenital equations. The block element in the form of an arbitrary triangular pyramid allowed to consider the edge problems for any regions including those with curvilinear boundaries for differential equations and their sets having variable coefficients.