Multipoint Problem with Multiple Nodes for Partial Differential Equations
We establish conditions for the existence and uniqueness of a solution of a problem with multipoint conditions with respect to a selected variable t (in the case of multiple nodes) and periodic conditions with respect to x 1,..., x p for a nonisotropic partial differential equation with constant com...
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3914 |
| 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_ | 1860510047982845952 |
|---|---|
| author | Ptashnik, B. I. Symotyuk, M. M. Пташник, Б. Й. Симотюк, М. М. |
| author_facet | Ptashnik, B. I. Symotyuk, M. M. Пташник, Б. Й. Симотюк, М. М. |
| author_sort | Ptashnik, B. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:23Z |
| description | We establish conditions for the existence and uniqueness of a solution of a problem with multipoint conditions with respect to a selected variable t (in the case of multiple nodes) and periodic conditions with respect to x 1,..., x p for a nonisotropic partial differential equation with constant complex coefficients. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of this problem. |
| first_indexed | 2026-03-24T02:50:48Z |
| format | Article |
| fulltext |
0064
0065
0066
0067
0068
0069
0070
0071
0072
0073
0074
0075
0076
0077
|
| id | umjimathkievua-article-3914 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:50:48Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f2/335b8e6a30062ae7a3e28ea5d48418f2.pdf |
| spelling | umjimathkievua-article-39142020-03-18T20:15:23Z Multipoint Problem with Multiple Nodes for Partial Differential Equations Багато точкова задача з кратними вузлами для диференціальних рівнянь із частинними похідними Ptashnik, B. I. Symotyuk, M. M. Пташник, Б. Й. Симотюк, М. М. We establish conditions for the existence and uniqueness of a solution of a problem with multipoint conditions with respect to a selected variable t (in the case of multiple nodes) and periodic conditions with respect to x 1,..., x p for a nonisotropic partial differential equation with constant complex coefficients. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of this problem. Встановлено умови існування та едності розв'язку задачі з багатоточковими умовами за виділеною змінною t (у випадку кратних вузлів) та умовами періодичності по x 1,..., x p для неізотропного рівняння з частинними похідними зі сталими комплексними коефіцієнтами. Доведено метричні теореми про оцінки знизу малих знаменників, що виникають при побудові розв'язку задачі. Institute of Mathematics, NAS of Ukraine 2003-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3914 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 3 (2003); 400-413 Український математичний журнал; Том 55 № 3 (2003); 400-413 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3914/4543 https://umj.imath.kiev.ua/index.php/umj/article/view/3914/4544 Copyright (c) 2003 Ptashnik B. I.; Symotyuk M. M. |
| spellingShingle | Ptashnik, B. I. Symotyuk, M. M. Пташник, Б. Й. Симотюк, М. М. Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title | Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title_alt | Багато точкова задача з кратними вузлами для диференціальних рівнянь із частинними похідними |
| title_full | Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title_fullStr | Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title_full_unstemmed | Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title_short | Multipoint Problem with Multiple Nodes for Partial Differential Equations |
| title_sort | multipoint problem with multiple nodes for partial differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3914 |
| work_keys_str_mv | AT ptashnikbi multipointproblemwithmultiplenodesforpartialdifferentialequations AT symotyukmm multipointproblemwithmultiplenodesforpartialdifferentialequations AT ptašnikbj multipointproblemwithmultiplenodesforpartialdifferentialequations AT simotûkmm multipointproblemwithmultiplenodesforpartialdifferentialequations AT ptashnikbi bagatotočkovazadačazkratnimivuzlamidlâdiferencíalʹnihrívnânʹízčastinnimipohídnimi AT symotyukmm bagatotočkovazadačazkratnimivuzlamidlâdiferencíalʹnihrívnânʹízčastinnimipohídnimi AT ptašnikbj bagatotočkovazadačazkratnimivuzlamidlâdiferencíalʹnihrívnânʹízčastinnimipohídnimi AT simotûkmm bagatotočkovazadačazkratnimivuzlamidlâdiferencíalʹnihrívnânʹízčastinnimipohídnimi |