M. Avalishvili,  D. Gordeziani 

Investigation of Two-Dimensional Models of Elastic Prismatic Shell

Statical and dynamical two-dimensional models of a prismatic elastic shell are constructed. The existence and uniqueness of solutions of the corresponding boundary and initial boundary value problems are proved, the rate of approximation of the solution of a three-dimensional problem by the vector-function restored from the solution of a two-dimensional one is estimated.