Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative
We establish conditions for the correct solvability of problems for systems of partial differential equations unresolved with respect to the highest time derivative with Dirichlet-type conditions with respect to time and periodic conditions with respect to space variables. We prove metric theorems o...
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| Date: | 2002 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4198 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510330484948992 |
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| author | Bilusyak, N.I. Komarnyts'ka, L. I. Ptashnik, B. I. Білусяк, Н. І. Комарницька, Л. І. Пташник, Б. Й. |
| author_facet | Bilusyak, N.I. Komarnyts'ka, L. I. Ptashnik, B. I. Білусяк, Н. І. Комарницька, Л. І. Пташник, Б. Й. |
| author_sort | Bilusyak, N.I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:24:06Z |
| description | We establish conditions for the correct solvability of problems for systems of partial differential equations unresolved with respect to the highest time derivative with Dirichlet-type conditions with respect to time and periodic conditions with respect to space variables. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of these problems. |
| first_indexed | 2026-03-24T02:55:17Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4198 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:55:17Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3a/35aed0a8a91ffa82835d981adb0ce03a.pdf |
| spelling | umjimathkievua-article-41982020-03-18T20:24:06Z Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative Задача типу Діріхле для систем рівнянь із частинними похідними, не розв'язаних відносно старшої похідної за часом Bilusyak, N.I. Komarnyts'ka, L. I. Ptashnik, B. I. Білусяк, Н. І. Комарницька, Л. І. Пташник, Б. Й. We establish conditions for the correct solvability of problems for systems of partial differential equations unresolved with respect to the highest time derivative with Dirichlet-type conditions with respect to time and periodic conditions with respect to space variables. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of these problems. Встановлено умови коректної розв'язності задачі з умовами типу Діріхле за часовою змінною та умовами періодичності за просторовими координатами для систем рівнянь із частинними похідними, не розв'язаних відносно старшої похідної за часом. Доведено метричні теореми про оцінки знизу малих знаменників, які виникають при побудові розв'язку задачі. Institute of Mathematics, NAS of Ukraine 2002-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4198 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 12 (2002); 1592-1602 Український математичний журнал; Том 54 № 12 (2002); 1592-1602 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4198/5103 https://umj.imath.kiev.ua/index.php/umj/article/view/4198/5104 Copyright (c) 2002 Bilusyak N.I.; Komarnyts'ka L. I.; Ptashnik B. I. |
| spellingShingle | Bilusyak, N.I. Komarnyts'ka, L. I. Ptashnik, B. I. Білусяк, Н. І. Комарницька, Л. І. Пташник, Б. Й. Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title | Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title_alt | Задача типу Діріхле для систем рівнянь із частинними похідними, не розв'язаних відносно старшої похідної за часом |
| title_full | Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title_fullStr | Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title_full_unstemmed | Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title_short | Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative |
| title_sort | dirichlet-type problems for systems of partial differential equations unresolved with respect to the highest time derivative |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4198 |
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