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 J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 2, Pages 131–143 (Mi jsfu468)

Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells

Marat G. Ahmadiev, Samat N. Timergaliev, Liliya S. Kharasova

Naberezhnye Chelny Institute, Kazan Federal University, Suumbike, 10A, Naberezhnye Chelny, 423812, Russia

Abstract: Solvability of a system of nonlinear second order partial differential equations with given initial conditions is considered in the paper. Reduction of the initial system of equations to one nonlinear operator equation is used to study the problem. The solvability is established with the use of the principle of contracting mappings.

Keywords: system of nonlinear differential equations, equilibrium equations, integral representations, existence theorem.

DOI: https://doi.org/10.17516/1997-1397-2016-9-2-131-143

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UDC: 517.958
Accepted: 19.02.2016
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Citation: Marat G. Ahmadiev, Samat N. Timergaliev, Liliya S. Kharasova, “Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 131–143

Citation in format AMSBIB
\Bibitem{AkhTimKha16} \by Marat~G.~Ahmadiev, Samat~N.~Timergaliev, Liliya~S.~Kharasova \paper Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells \jour J. Sib. Fed. Univ. Math. Phys. \yr 2016 \vol 9 \issue 2 \pages 131--143 \mathnet{http://mi.mathnet.ru/jsfu468} \crossref{https://doi.org/10.17516/1997-1397-2016-9-2-131-143} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412008200001}