BENDING OF THE PRISMATIC SHELLS WITH THE THICKNESS VANISHING AT INFINITY IN THE N = 0 APPROXIMATION OF HIERARCHICAL MODELS

The work is devoted to the prismatic shell with the thickness vanishing at infinity as an exponential function. We consider bending equation of the zero approximation of Vekuas hierarchical models. The problem is reduced to the Dirichlet problem for elliptic type partial differential equation in the first quadrant of a two-dimensional Cartesian system. The solution of the setting problem is constructed in an integral form.