Variational statements of a statical problem of the elasticity theory under the preset external forces
The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a u...
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Institute of Mathematics, NAS of Ukraine
2025
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513505730363392 |
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| author | Molchanov , I. N. Galba , E. F. Молчанов , И. Н. Галба , Е. Ф. |
| author_facet | Molchanov , I. N. Galba , E. F. Молчанов , И. Н. Галба , Е. Ф. |
| author_sort | Molchanov , I. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-30T14:20:55Z |
| description | The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a unique solution in a subspace. |
| first_indexed | 2026-03-24T03:45:45Z |
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| id | umjimathkievua-article-9350 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
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| language | rus |
| last_indexed | 2026-03-24T03:45:45Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
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| resource_txt_mv | umjimathkievua/70/a6a0c9d013292512ae0d799e50feae70.pdf |
| spelling | umjimathkievua-article-93502025-06-30T14:20:55Z Variational statements of a statical problem of the elasticity theory under the preset external forces Вариационные постановки статической задачи теории упругости при заданных внешних силах Molchanov , I. N. Galba , E. F. Молчанов , И. Н. Галба , Е. Ф. - The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a unique solution in a subspace. Рассматривается краевая задача для уравнений упругого равновесия тел в перемещениях-когда на поверхности тела заданы напряжения. Для этой задачи, имеющей единственное решение на подпространстве, сформулированы две вариационные задачи, разрешимые единственным образом на всем пространстве. Розглядається крайова задача для рівнянь пружної рівноваги тіл в переміщеннях, коли на поверхні тіла задані напруження. Для цієї задачі, яка має єдиний розв’язок на підпросторі, сформульовані дві варіаційні задачі, які розв’язуються єдиним способом на всьому просторі. Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9350 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991); 158-161 Український математичний журнал; Том 43 № 2 (1991); 158-161 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9350/10500 Copyright (c) 1991 И. Н. Молчанов , Е. Ф. Галба |
| spellingShingle | Molchanov , I. N. Galba , E. F. Молчанов , И. Н. Галба , Е. Ф. Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title | Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title_alt | Вариационные постановки статической задачи теории упругости при заданных внешних силах |
| title_full | Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title_fullStr | Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title_full_unstemmed | Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title_short | Variational statements of a statical problem of the elasticity theory under the preset external forces |
| title_sort | variational statements of a statical problem of the elasticity theory under the preset external forces |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9350 |
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