Nonlinear boundary-value problems for systems of ordinary differential equations
We consider nonlinear boundary-value problems (with Noetherian operator in the linear part) for systems of ordinary differential equations in the neighborhood of generating solutions. By using the Lyapunov — Schmidt method, we establish conditions for the existence of solutions of these boundary-val...
Saved in:
| Date: | 1998 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4951 |
| 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_ | 1860511136240107520 |
|---|---|
| author | Boichuk, О. A. Бойчук, А. А. Бойчук, А. А. |
| author_facet | Boichuk, О. A. Бойчук, А. А. Бойчук, А. А. |
| author_sort | Boichuk, О. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:20:56Z |
| description | We consider nonlinear boundary-value problems (with Noetherian operator in the linear part) for systems of ordinary differential equations in the neighborhood of generating solutions. By using the Lyapunov — Schmidt method, we establish conditions for the existence of solutions of these boundary-value problems and propose iteration algorithms for their construction. |
| first_indexed | 2026-03-24T03:08:05Z |
| format | Article |
| fulltext |
0010
0011
0012
0013
0014
0015
0016
0017
0018
0019
|
| id | umjimathkievua-article-4951 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:08:05Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a6/f4cb03e306696e2b7b7b74facf114ca6.pdf |
| spelling | umjimathkievua-article-49512020-03-18T21:20:56Z Nonlinear boundary-value problems for systems of ordinary differential equations Нелинейные краевые задачи для систем обыкновенных дифференциальных уравнений Boichuk, О. A. Бойчук, А. А. Бойчук, А. А. We consider nonlinear boundary-value problems (with Noetherian operator in the linear part) for systems of ordinary differential equations in the neighborhood of generating solutions. By using the Lyapunov — Schmidt method, we establish conditions for the existence of solutions of these boundary-value problems and propose iteration algorithms for their construction. Розглядаються нелінійні (з петеровим оператором в лінійній частині) крайові задачі для систем звичайних диференціальних рівнянь в околі породжуючих розв'язків. На основі методу Ляпунова-Шмідта отримані умови існування розв'язків розглядуваних крайових задач та ітераційні алгоритми їх побудови. Institute of Mathematics, NAS of Ukraine 1998-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4951 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 2 (1998); 162–171 Український математичний журнал; Том 50 № 2 (1998); 162–171 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4951/6601 https://umj.imath.kiev.ua/index.php/umj/article/view/4951/6602 Copyright (c) 1998 Boichuk О. A. |
| spellingShingle | Boichuk, О. A. Бойчук, А. А. Бойчук, А. А. Nonlinear boundary-value problems for systems of ordinary differential equations |
| title | Nonlinear boundary-value problems for systems of ordinary differential equations |
| title_alt | Нелинейные краевые задачи для систем обыкновенных дифференциальных уравнений |
| title_full | Nonlinear boundary-value problems for systems of ordinary differential equations |
| title_fullStr | Nonlinear boundary-value problems for systems of ordinary differential equations |
| title_full_unstemmed | Nonlinear boundary-value problems for systems of ordinary differential equations |
| title_short | Nonlinear boundary-value problems for systems of ordinary differential equations |
| title_sort | nonlinear boundary-value problems for systems of ordinary differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4951 |
| work_keys_str_mv | AT boichukoa nonlinearboundaryvalueproblemsforsystemsofordinarydifferentialequations AT bojčukaa nonlinearboundaryvalueproblemsforsystemsofordinarydifferentialequations AT bojčukaa nonlinearboundaryvalueproblemsforsystemsofordinarydifferentialequations AT boichukoa nelinejnyekraevyezadačidlâsistemobyknovennyhdifferencialʹnyhuravnenij AT bojčukaa nelinejnyekraevyezadačidlâsistemobyknovennyhdifferencialʹnyhuravnenij AT bojčukaa nelinejnyekraevyezadačidlâsistemobyknovennyhdifferencialʹnyhuravnenij |