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
\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}
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Linking options:
https://www.mathnet.ru/eng/jsfu468
https://www.mathnet.ru/eng/jsfu/v9/i2/p131
This publication is cited in the following 3 articles:
Lilya Kharasova, E. Vdovin, “Strength of thin-walled elastic building structures”, E3S Web Conf., 274 (2021), 03019
L S Kharasova, “On the question of the existence of solutions of one nonlinear boundary-value problem for the system of differential equations of the theory of shallow shells of Timoshenko type”, J. Phys.: Conf. Ser., 1158 (2019), 032011
S N Timergaliev, L S Kharasova, “On the existence of solutions of one nonlinear boundary-value problem for shallow shells of Timoshenko type with simply supported edges”, IOP Conf. Ser.: Mater. Sci. Eng., 158 (2016), 012092
Citation in format AMSBIB
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