| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2021 |
| Язык | английский |
|
Якушев Ринат Султанович, автор
|
|
Akhmadiev Marat , автор
Timergaliev Samat , автор
Uglov Alexandr , автор
|
| Библиографическое описание на языке оригинала |
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. |
| Аннотация |
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. |
| Ключевые слова |
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. |
| Название журнала |
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 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=275224 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Якушев Ринат Султанович |
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/?p_id=275224 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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