Differential Equations

, Volume 51, Issue 3, pp 376–390 | Cite as

On the existence of solutions of a nonlinear boundary value problem for the system of partial differential equations of the theory of Timoshenko type shallow shells with free edges

  • S. N. Timergaliev
Partial Differential Equations


We study the solvability of a system of nonlinear second-order partial differential equations with given boundary conditions. The method is to reduce the original system to a single nonlinear differential equation, whose solvability is then proved with the use of the contraction mapping principle.


Nonlinear Boundary Free Edge Hilbert Problem Nonlinear Integral Equation Shallow Shell 
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© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Branch of Kazan Federal University in Naberezhnye ChelnyNaberezhnye ChelnyRussia

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