Multipoint problem for typeless systems of differential equations with constant coefficients
For typeless systems of differential equations with constant coefficients, we investigate the well-posedness of the problem with multipoint conditions for a selected variable and 2π-periodic conditions for the other coordinates. The conditions of univalent solvability are established and the metric...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5123 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511319059333120 |
|---|---|
| author | Ptashnik, B. I. Sylyuha, L. P. Пташник, Б. Й. Силюга, Л. П. |
| author_facet | Ptashnik, B. I. Sylyuha, L. P. Пташник, Б. Й. Силюга, Л. П. |
| author_sort | Ptashnik, B. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:05Z |
| description | For typeless systems of differential equations with constant coefficients, we investigate the well-posedness of the problem with multipoint conditions for a selected variable and 2π-periodic conditions for the other coordinates. The conditions of univalent solvability are established and the metric theorems are proved for lower bounds of small denominators that appear in the construction of solutions of the problems. |
| first_indexed | 2026-03-24T03:11:00Z |
| format | Article |
| fulltext |
0084
0085
0086
0087
0088
0089
0090
0091
0092
0093
0094
0095
0096
0097
|
| id | umjimathkievua-article-5123 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:11:00Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a3/8a9c9a7a8430b65ea4c4556d5e8c32a3.pdf |
| spelling | umjimathkievua-article-51232020-03-18T21:25:05Z Multipoint problem for typeless systems of differential equations with constant coefficients Багатоточкова задача для безтипних систем диференціальних рівнянь зі сталими коефіцієнтами Ptashnik, B. I. Sylyuha, L. P. Пташник, Б. Й. Силюга, Л. П. For typeless systems of differential equations with constant coefficients, we investigate the well-posedness of the problem with multipoint conditions for a selected variable and 2π-periodic conditions for the other coordinates. The conditions of univalent solvability are established and the metric theorems are proved for lower bounds of small denominators that appear in the construction of solutions of the problems. Для безтипних систем диференціальних рівнянь зі сталими коефіцієнтами досліджено коректність задачі з багатоточковими умовами за виділеною змінною та умовами 2π-періодичності за всіма іншими координатами. Встановлено умови однозначної розв'язності та доведено метричні теореми про оцінки знизу малих знаменників, які виникають при побудові розв'язків задач. Institute of Mathematics, NAS of Ukraine 1997-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5123 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 9 (1997); 1236–1249 Український математичний журнал; Том 49 № 9 (1997); 1236–1249 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5123/6942 https://umj.imath.kiev.ua/index.php/umj/article/view/5123/6943 Copyright (c) 1997 Ptashnik B. I.; Sylyuha L. P. |
| spellingShingle | Ptashnik, B. I. Sylyuha, L. P. Пташник, Б. Й. Силюга, Л. П. Multipoint problem for typeless systems of differential equations with constant coefficients |
| title | Multipoint problem for typeless systems of differential equations with constant coefficients |
| title_alt | Багатоточкова задача для безтипних систем
диференціальних рівнянь зі сталими коефіцієнтами |
| title_full | Multipoint problem for typeless systems of differential equations with constant coefficients |
| title_fullStr | Multipoint problem for typeless systems of differential equations with constant coefficients |
| title_full_unstemmed | Multipoint problem for typeless systems of differential equations with constant coefficients |
| title_short | Multipoint problem for typeless systems of differential equations with constant coefficients |
| title_sort | multipoint problem for typeless systems of differential equations with constant coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5123 |
| work_keys_str_mv | AT ptashnikbi multipointproblemfortypelesssystemsofdifferentialequationswithconstantcoefficients AT sylyuhalp multipointproblemfortypelesssystemsofdifferentialequationswithconstantcoefficients AT ptašnikbj multipointproblemfortypelesssystemsofdifferentialequationswithconstantcoefficients AT silûgalp multipointproblemfortypelesssystemsofdifferentialequationswithconstantcoefficients AT ptashnikbi bagatotočkovazadačadlâbeztipnihsistemdiferencíalʹnihrívnânʹzístalimikoefícíêntami AT sylyuhalp bagatotočkovazadačadlâbeztipnihsistemdiferencíalʹnihrívnânʹzístalimikoefícíêntami AT ptašnikbj bagatotočkovazadačadlâbeztipnihsistemdiferencíalʹnihrívnânʹzístalimikoefícíêntami AT silûgalp bagatotočkovazadačadlâbeztipnihsistemdiferencíalʹnihrívnânʹzístalimikoefícíêntami |