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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

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Abstract

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.

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Authors and Affiliations

  1. Branch of Kazan Federal University in Naberezhnye Chelny, Naberezhnye Chelny, Russia

    S. N. Timergaliev

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  1. S. N. Timergaliev
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Correspondence to S. N. Timergaliev.

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Original Russian Text © S.N. Timergaliev, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 3, pp. 373–386.

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Timergaliev, S.N. 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. Diff Equat 51, 376–390 (2015). https://doi.org/10.1134/S0012266115030088

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  • DOI: https://doi.org/10.1134/S0012266115030088

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