Existence of the Vejvoda-Shtedry spaces
We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces.
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| Date: | 1997 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5007 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511201115504640 |
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| author | Botyuk, A. O. Khoma, G. P. Khoma, L. G. Ботюк, А. О. Хома, Г. П. Хома, Л. Г. |
| author_facet | Botyuk, A. O. Khoma, G. P. Khoma, L. G. Ботюк, А. О. Хома, Г. П. Хома, Л. Г. |
| author_sort | Botyuk, A. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:31Z |
| description | We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces. |
| first_indexed | 2026-03-24T03:09:07Z |
| format | Article |
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| id | umjimathkievua-article-5007 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:07Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/07/3ea5a4b811b314a8b752bdc07c2d3507.pdf |
| spelling | umjimathkievua-article-50072020-03-18T21:22:31Z Existence of the Vejvoda-Shtedry spaces Існування просторів Вейводи - Штедри Botyuk, A. O. Khoma, G. P. Khoma, L. G. Ботюк, А. О. Хома, Г. П. Хома, Л. Г. We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces. Вивчається лінійна періодична задача u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2. Встановлено умови існування класичного розв'язку даної задачі у просторах, які є підпросторами просторів Вейводи - Штедри. Institute of Mathematics, NAS of Ukraine 1997-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5007 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 2 (1997); 302–308 Український математичний журнал; Том 49 № 2 (1997); 302–308 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5007/6713 https://umj.imath.kiev.ua/index.php/umj/article/view/5007/6714 Copyright (c) 1997 Botyuk A. O.; Khoma G. P.; Khoma L. G. |
| spellingShingle | Botyuk, A. O. Khoma, G. P. Khoma, L. G. Ботюк, А. О. Хома, Г. П. Хома, Л. Г. Existence of the Vejvoda-Shtedry spaces |
| title | Existence of the Vejvoda-Shtedry spaces |
| title_alt | Існування просторів Вейводи - Штедри |
| title_full | Existence of the Vejvoda-Shtedry spaces |
| title_fullStr | Existence of the Vejvoda-Shtedry spaces |
| title_full_unstemmed | Existence of the Vejvoda-Shtedry spaces |
| title_short | Existence of the Vejvoda-Shtedry spaces |
| title_sort | existence of the vejvoda-shtedry spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5007 |
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