Generalized Green operator of a boundary-value problem with degenerate pulse influence
We find necessary and sufficient conditions for solvability of nonhomogeneous linear boundary-value problems for systems of ordinary differential equations with impulsive force in a general case where the number of boundary-value conditions in not equal to the order of the differential systems (Noet...
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| Date: | 1996 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5291 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792497421123584 |
|---|---|
| author | Boichuk, О. A. Chuiko, E. V. Chuiko, S. M. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. |
| author_facet | Boichuk, О. A. Chuiko, E. V. Chuiko, S. M. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. |
| author_institution_txt_mv | [
{
"author": "А. А. Бойчук",
"institution": null
},
{
"author": "Е. В. Чуйко",
"institution": null
},
{
"author": "С. М. Чуйко",
"institution": null
}
] |
| author_sort | Boichuk, О. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:48Z |
| description | We find necessary and sufficient conditions for solvability of nonhomogeneous linear boundary-value problems for systems of ordinary differential equations with impulsive force in a general case where the number of boundary-value conditions in not equal to the order of the differential systems (Noetherian problems). We construct a generalized Greens's operator for boundary-value problems, not every solution of which can be extended from the left end point to the right end point of the interval where the solution is defined. |
| first_indexed | 2026-03-24T03:14:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5291 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:01Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e9/1056da12d48f879e0cffca13d82706e9.pdf |
| spelling | umjimathkievua-article-52912020-03-18T21:29:48Z Generalized Green operator of a boundary-value problem with degenerate pulse influence Обобщенный оператор Грина краевой задачи с вырожденным импульсным воздействием Boichuk, О. A. Chuiko, E. V. Chuiko, S. M. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. We find necessary and sufficient conditions for solvability of nonhomogeneous linear boundary-value problems for systems of ordinary differential equations with impulsive force in a general case where the number of boundary-value conditions in not equal to the order of the differential systems (Noetherian problems). We construct a generalized Greens's operator for boundary-value problems, not every solution of which can be extended from the left end point to the right end point of the interval where the solution is defined. Одержані необхідні і достатні умови розв'язності лінійних неоднорідних крайових задач для систем звичайних диференціальних рівнянь з імпульсною дією у випадку, коли кількість крайових умов не співпадає з порядком диференціальної системи (нетерові задачі). Побудовано узагальнений оператор Гріна крайових задач, для яких не всі розв'язки можуть бути продовжені з лівого до правого кіпця проміжку, на якому вони будуються. Institute of Mathematics, NAS of Ukraine 1996-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5291 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 5 (1996); 588-594 Український математичний журнал; Том 48 № 5 (1996); 588-594 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5291/7274 https://umj.imath.kiev.ua/index.php/umj/article/view/5291/7275 Copyright (c) 1996 Boichuk О. A.; Chuiko E. V.; Chuiko S. M. |
| spellingShingle | Boichuk, О. A. Chuiko, E. V. Chuiko, S. M. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. Бойчук, А. А. Чуйко, Е. В. Чуйко, С. М. Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title | Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title_alt | Обобщенный оператор Грина краевой задачи с
вырожденным импульсным воздействием |
| title_full | Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title_fullStr | Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title_full_unstemmed | Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title_short | Generalized Green operator of a boundary-value problem with degenerate pulse influence |
| title_sort | generalized green operator of a boundary-value problem with degenerate pulse influence |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5291 |
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