On a comparison method for pulse systems in the space $R^n$
A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire space $R^n$. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction...
Gespeichert in:
| Datum: | 1993 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5864 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512085290516480 |
|---|---|
| author | Akhmetov, M. U. Perestyuk, N. A. Ахметов, М. У. Перестюк, Н. А. Ахметов, М. У. Перестюк, Н. А. |
| author_facet | Akhmetov, M. U. Perestyuk, N. A. Ахметов, М. У. Перестюк, Н. А. Ахметов, М. У. Перестюк, Н. А. |
| author_sort | Akhmetov, M. U. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:41Z |
| description | A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire space $R^n$. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction principle for these equations. |
| first_indexed | 2026-03-24T03:23:11Z |
| format | Article |
| fulltext |
0023
0024
0025
0026
0027
0028
0029
0030
0031
0032
|
| id | umjimathkievua-article-5864 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:11Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e5/b0081caff07e0b0d3bacbeb045cb80e5.pdf |
| spelling | umjimathkievua-article-58642020-03-19T09:19:41Z On a comparison method for pulse systems in the space $R^n$ О методе сравнения для импульсных систем в пространстве $R^n$ Akhmetov, M. U. Perestyuk, N. A. Ахметов, М. У. Перестюк, Н. А. Ахметов, М. У. Перестюк, Н. А. A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire space $R^n$. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction principle for these equations. У всьому просторі $R^n$ реалізується метод дослідження диференціальних рівнянь з імпульсною дією на поверхнях, застосований в [1] для обмеженої частини фазового простору. Доведені теореми про існування інтегральних поверхонь у критичному випадку, обгрунтовано принцип зведення для таких рівнянь. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5864 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 753–762 Український математичний журнал; Том 45 № 6 (1993); 753–762 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5864/8411 https://umj.imath.kiev.ua/index.php/umj/article/view/5864/8412 Copyright (c) 1993 Akhmetov M. U.; Perestyuk N. A. |
| spellingShingle | Akhmetov, M. U. Perestyuk, N. A. Ахметов, М. У. Перестюк, Н. А. Ахметов, М. У. Перестюк, Н. А. On a comparison method for pulse systems in the space $R^n$ |
| title | On a comparison method for pulse systems in the space $R^n$ |
| title_alt | О методе сравнения для импульсных систем в пространстве $R^n$ |
| title_full | On a comparison method for pulse systems in the space $R^n$ |
| title_fullStr | On a comparison method for pulse systems in the space $R^n$ |
| title_full_unstemmed | On a comparison method for pulse systems in the space $R^n$ |
| title_short | On a comparison method for pulse systems in the space $R^n$ |
| title_sort | on a comparison method for pulse systems in the space $r^n$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5864 |
| work_keys_str_mv | AT akhmetovmu onacomparisonmethodforpulsesystemsinthespacern AT perestyukna onacomparisonmethodforpulsesystemsinthespacern AT ahmetovmu onacomparisonmethodforpulsesystemsinthespacern AT perestûkna onacomparisonmethodforpulsesystemsinthespacern AT ahmetovmu onacomparisonmethodforpulsesystemsinthespacern AT perestûkna onacomparisonmethodforpulsesystemsinthespacern AT akhmetovmu ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern AT perestyukna ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern AT ahmetovmu ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern AT perestûkna ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern AT ahmetovmu ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern AT perestûkna ometodesravneniâdlâimpulʹsnyhsistemvprostranstvern |