КФУ. Карточка публикации. 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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Якушев Ринат Султанович, автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

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

Название журнала

Russian Mathematics

URL

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

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https://repository.kpfu.ru/?p_id=231363

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Якушев Ринат Султанович	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/?p_id=231363	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	Статьи в зарубежных журналах и сборниках	ru_RU