© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential ...

In the paper we investigate the solvability of the boundary-value problems for shallow isotropic elastic shells within the framework of Timoshenko's shearmodel. The considered problems are nonlinear geometrically and linear ...

In the nonlinear theory of shells all known existence theorems are based on the Kirchhoff-Love model. We prove a new existence theorem using the displacement model proposed by S. P. Timoshenko. © 2011 Allerton Press, Inc.