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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 2, Pages 131–143
DOI: https://doi.org/10.17516/1997-1397-2016-9-2-131-143 (Mi jsfu468) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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
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DOI: https://doi.org/10.17516/1997-1397-2016-9-2-131-143
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.
Received: 05.09.2015
Received in revised form: 11.01.2016
Accepted: 19.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: English
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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412008200001}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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