On the question of the existence of solutions of one nonlinear boundary-value problem for the system of differential equations of the theory of shallow shells of Timoshenko type

Abstract

© 2019 IOP Publishing Ltd. The study is devoted to the solvability of one system of nonlinear second order partial differential equations with given initial conditions is considered. The research method consists in reducing the initial system of equations to one nonlinear operator equation. The solvability of equation is established with the use of the principle of contracting mappings.