Summary: In this paper, method is offered enabling reduction of resolving system of heterogeneous partial-derivative differential equations of the sixteenth order within the variant of mathematical theory of non-thin shallow shells to the differential equations of the second and fourth orders. A method is used of geometrical parameters perturbation and symbolical method.

Keywords: variant of mathematical theory, non-thin shallow shell, system of heterogeneous partial-derivative differential equations, method of perturbations, operator.