KFU. Card publication. On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges

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ON THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR INHOMOGENEOUS ISOTROPIC SHALLOW SHELLS OF THE TIMOSHENKO TYPE WITH FREE EDGES

Form of presentation

Articles in international journals and collections

Year of publication

2021

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Authors, employees of KFU

Yakushev Rinat Sultanovich, author

Other authors

Akhmadiev Marat , author

Timergaliev Samat , author

Uglov Alexandr , author

Bibliographic description in the original language

Akhmadiev M.G, Timergaliev S.N, Uglov A.N, On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.1. - P.30-43.

Annotation

ISSN 1995-0802, Lobachevskii Journal of Mathematics, 2021, Vol. 42, No. 1, pp. 30–43. c? Pleiades Publishing, Ltd., 2021. On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges M. G. Akhmadiev 1* , S. N. Timergaliev 2** , A. N. Uglov 3*** , and R. S. Yakushev 4**** (Submitted by A. M. Elizarov) 1 Kazan National Research Technological University, Kazan, 420015 Tatarstan, Russia 2 Kazan State University of Architecture and Engineering, Kazan, 420043 Tatarstan, Russia 3 Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University, Naberezhnye Chelny, 423812 Tatarstan, Russia 4 Kazan (Volga Region) Federal University, Kazan, 420008 Tatarstan, Russia Received February 25, 2020; revised June 8, 2020; accepted July 8, 2020 Abstract—The paper deals with the study of solvability to geometrically nonlinear boundary value problem for elastic inhomogeneous isotropic shallow shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation relative to deflection of shell in Sobolev space. Solvability of equation is proved with the use of contracting mappings principle.

Keywords

nonlinear boundary value problem, inhomogeneous isotropic shell of Timoshenko type, equilibrium equations, generalized solution of a boundary value problem, holomorphic functions, integral of Cauchy type, integral equations, operator, existence theorem.

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85101771837&doi=10.1134%2fS1995080221010054&partnerID=40&md5=8c4ffd16fc753fdcfe9d7497ddce1835

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=275224&p_lang=2

Resource files

File name	Size (MB)	Format
S1995080221010054.pdf	0,63	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Yakushev Rinat Sultanovich	ru_RU
dc.contributor.author	Akhmadiev Marat	ru_RU
dc.contributor.author	Timergaliev Samat	ru_RU
dc.contributor.author	Uglov Alexandr	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Akhmadiev M.G, Timergaliev S.N, Uglov A.N, On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges//Lobachevskii Journal of Mathematics. - 2021. - Vol.42, Is.1. - P.30-43.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=275224&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	ISSN 1995-0802, Lobachevskii Journal of Mathematics, 2021, Vol. 42, No. 1, pp. 30–43. c? Pleiades Publishing, Ltd., 2021. On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges M. G. Akhmadiev 1* , S. N. Timergaliev 2 , A. N. Uglov 3* , and R. S. Yakushev 4**** (Submitted by A. M. Elizarov) 1 Kazan National Research Technological University, Kazan, 420015 Tatarstan, Russia 2 Kazan State University of Architecture and Engineering, Kazan, 420043 Tatarstan, Russia 3 Naberezhnye Chelny Institute, Kazan (Volga Region) Federal University, Naberezhnye Chelny, 423812 Tatarstan, Russia 4 Kazan (Volga Region) Federal University, Kazan, 420008 Tatarstan, Russia Received February 25, 2020; revised June 8, 2020; accepted July 8, 2020 Abstract—The paper deals with the study of solvability to geometrically nonlinear boundary value problem for elastic inhomogeneous isotropic shallow shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation relative to deflection of shell in Sobolev space. Solvability of equation is proved with the use of contracting mappings principle.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	nonlinear boundary value problem	ru_RU
dc.subject	inhomogeneous isotropic shell of Timoshenko type	ru_RU
dc.subject	equilibrium equations	ru_RU
dc.subject	generalized solution of a boundary value problem	ru_RU
dc.subject	holomorphic functions	ru_RU
dc.subject	integral of Cauchy type	ru_RU
dc.subject	integral equations	ru_RU
dc.subject	operator	ru_RU
dc.subject	existence theorem.	ru_RU
dc.title	On the Existence of Solutions of Nonlinear Boundary Value Problems for Inhomogeneous Isotropic Shallow Shells of the Timoshenko Type with Free Edges	ru_RU
dc.type	Articles in international journals and collections	ru_RU