KFU. Card publication. Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges

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APPLICATION OF RIEMANN-HILBERT PROBLEM SOLUTIONS TO A STUDY OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR TIMOSHENKO TYPE INHOMOGENEOUS SHELLS WITH FREE EDGES

Form of presentation

Articles in international journals and collections

Year of publication

2018

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Authors, employees of KFU

Uglov Aleksandr Nikolaevich, author

Other authors

Timergaliev Samat Nizametdinovich, author

Bibliographic description in the original language

Uglov A. N. Application of Riemann-Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges / S. N. Timergaliev, A. N. Uglov // Lobachevskii Journal of Mathematics. - 2018. - Vol. 39. - � 6. -Pp. 855-865.

Annotation

The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S.P.Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability is proved with the use of contracting mappings principle.

Keywords

nonlinear boundary value problem, Timoshenko type inhomogeneous isotropic shell, equilibrium equations, generalized displacements, generalized solution of a boundary value problem, Riemann-Hilbert problem for the holomorphic functions, Sobolev space, integral representations, operator, existence theorem

The name of the journal

Lobashevskii Journal of Mathematics

URL

https://www.scopus.com/record/display.uri?eid=2-s2.0-85051089352&origin=resultslist&sort=plf-f&src=s&sid=72a9f7318d37c679a95f43c02f1bf956&sot=autdocs&sdt=autdocs&sl=18&s=AU-ID%2856608902900%29&relpos=0&citeCnt=0&searchTerm=

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

https://repository.kpfu.ru/eng/?p_id=189701&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Uglov Aleksandr Nikolaevich	ru_RU
dc.contributor.author	Timergaliev Samat Nizametdinovich	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Uglov A. N. Application of Riemann-Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges / S. N. Timergaliev, A. N. Uglov // Lobachevskii Journal of Mathematics. - 2018. - Vol. 39. - � 6. -Pp. 855-865.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=189701&p_lang=2	ru_RU
dc.description.abstract	Lobashevskii Journal of Mathematics	ru_RU
dc.description.abstract	The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S.P.Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability 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	Timoshenko type inhomogeneous isotropic shell	ru_RU
dc.subject	equilibrium equations	ru_RU
dc.subject	generalized displacements	ru_RU
dc.subject	generalized solution of a boundary value problem	ru_RU
dc.subject	Riemann-Hilbert problem for the holomorphic functions	ru_RU
dc.subject	Sobolev space	ru_RU
dc.subject	integral representations	ru_RU
dc.subject	operator	ru_RU
dc.subject	existence theorem	ru_RU
dc.title	Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges	ru_RU
dc.type	Articles in international journals and collections	ru_RU