Application of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges


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Abstract

The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability is proved with the use of contracting mappings principle.

About the authors

S. N. Timergaliev

Kazan State University of Architecture and Engineering

Author for correspondence.
Email: Samat_tim@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, Tatarstan, 420043

A. N. Uglov

Kazan Federal University—Naberezhnye Chelny Institute

Email: Samat_tim@mail.ru
Russian Federation, pr. Mira 68/19, Naberezhnye Chelny, Tatarstan, 423812


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