A Multipoint Problem for Pseudodifferential Equations
We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,...,x p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. W...
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3884 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510018893250560 |
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| author | Klyus, I. S. Ptashnik, B. I. Клюс, І. С. Пташник, Б. Й. |
| author_facet | Klyus, I. S. Ptashnik, B. I. Клюс, І. С. Пташник, Б. Й. |
| author_sort | Klyus, I. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:14:44Z |
| description | We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,...,x p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. We establish conditions for the unique solvability of this problem and prove metric assertions related to lower bounds for small denominators appearing in the course of its solution. |
| first_indexed | 2026-03-24T02:50:20Z |
| format | Article |
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| id | umjimathkievua-article-3884 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:50:20Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a8/09fb1f73165386a007123a55b52570a8.pdf |
| spelling | umjimathkievua-article-38842020-03-18T20:14:44Z A Multipoint Problem for Pseudodifferential Equations Багатоточкова задача для псевдодиференціальних рівнянь Klyus, I. S. Ptashnik, B. I. Клюс, І. С. Пташник, Б. Й. We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,...,x p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. We establish conditions for the unique solvability of this problem and prove metric assertions related to lower bounds for small denominators appearing in the course of its solution. Досліджено коректність задачі з багатоточковими умовами за виділеною змінною і та умовами періодичності за координатами $x_1,...,x_p$ для рівнянь, не розв'язних відносно старшої похідної по $t$, із псеидодифереіщіальними операторами. Встановлено умови однозначної розв'язності задачі та доведено метричні твердження, що стосуються оцінок знизу малих знаменників, які виникають при побудові розв'язку задачі. Institute of Mathematics, NAS of Ukraine 2003-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3884 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 1 (2003); 22-29 Український математичний журнал; Том 55 № 1 (2003); 22-29 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3884/4483 https://umj.imath.kiev.ua/index.php/umj/article/view/3884/4484 Copyright (c) 2003 Klyus I. S.; Ptashnik B. I. |
| spellingShingle | Klyus, I. S. Ptashnik, B. I. Клюс, І. С. Пташник, Б. Й. A Multipoint Problem for Pseudodifferential Equations |
| title | A Multipoint Problem for Pseudodifferential Equations |
| title_alt | Багатоточкова задача для псевдодиференціальних рівнянь |
| title_full | A Multipoint Problem for Pseudodifferential Equations |
| title_fullStr | A Multipoint Problem for Pseudodifferential Equations |
| title_full_unstemmed | A Multipoint Problem for Pseudodifferential Equations |
| title_short | A Multipoint Problem for Pseudodifferential Equations |
| title_sort | multipoint problem for pseudodifferential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3884 |
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