KFU. Card publication. On the Existence of Solutions to Spatial Nonlinear Boundary Value Problems for Arbitrary Elastic Inhomogeneous Anisotropic Body

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ON THE EXISTENCE OF SOLUTIONS TO SPATIAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR ARBITRARY ELASTIC INHOMOGENEOUS ANISOTROPIC BODY

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Yakushev Rinat Sultanovich, author

Bibliographic description in the original language

Timergaliev S.N, Yakushev R.S., On the Existence of Solutions to Spatial Nonlinear Boundary Value Problems for Arbitrary Elastic Inhomogeneous Anisotropic Body / Timergaliev S.N, Yakushev R.S. // Russ Math. - 2019. - 63,1 - P. 67–75.

Annotation

We study the solvability of a nonlinear boundary value problem for a system of nonlinear partial differential equations of the second order. The goal of this paper is to prove the existence theorem for solutions to the mentioned problem. This problem is reduced to a system of three-dimensional nonlinear singular integral equations, whose solvability can be proved with the use of the symbol of a singular operator and the contraction mapping principle.

Keywords

elastic inhomogeneous anisotropic body, equilibrium equations, boundary value problem, three-dimensional singular integral equations, symbol of a singular operator, existence theorem

The name of the journal

Russian Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067014411&doi=10.3103%2fS1066369X19010080&partnerID=40&md5=59eb4bd0a57cbfc2d39c0ae03361ad2d

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

https://repository.kpfu.ru/eng/?p_id=231363&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Yakushev Rinat Sultanovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Timergaliev S.N, Yakushev R.S., On the Existence of Solutions to Spatial Nonlinear Boundary Value Problems for Arbitrary Elastic Inhomogeneous Anisotropic Body / Timergaliev S.N, Yakushev R.S. // Russ Math. - 2019. - 63,1 - P. 67–75.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=231363&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	We study the solvability of a nonlinear boundary value problem for a system of nonlinear partial differential equations of the second order. The goal of this paper is to prove the existence theorem for solutions to the mentioned problem. This problem is reduced to a system of three-dimensional nonlinear singular integral equations, whose solvability can be proved with the use of the symbol of a singular operator and the contraction mapping principle.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	elastic inhomogeneous anisotropic body	ru_RU
dc.subject	equilibrium equations	ru_RU
dc.subject	boundary value problem	ru_RU
dc.subject	three-dimensional singular integral equations	ru_RU
dc.subject	symbol of a singular operator	ru_RU
dc.subject	existence theorem	ru_RU
dc.title	On the Existence of Solutions to Spatial Nonlinear Boundary Value Problems for Arbitrary Elastic Inhomogeneous Anisotropic Body	ru_RU
dc.type	Articles in international journals and collections	ru_RU