Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative
A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied.
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5952 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793214997331968 |
|---|---|
| author | Prosenyuk, L. G. Просенюк, Л. Г. Просенюк, Л. Г. |
| author_facet | Prosenyuk, L. G. Просенюк, Л. Г. Просенюк, Л. Г. |
| author_institution_txt_mv | [
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"author": "Л. Г. Просенюк",
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| author_sort | Prosenyuk, L. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:43Z |
| description | A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied. |
| first_indexed | 2026-03-24T03:24:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5952 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:37Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4f/68f054bfa5ad73d27f63f4a115f5414f.pdf |
| spelling | umjimathkievua-article-59522020-03-19T09:21:43Z Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative О существовании и асимптотических свойствах решений одной вещественной системы дифференциальных уравнений, не разрешенных относительно производной Prosenyuk, L. G. Просенюк, Л. Г. Просенюк, Л. Г. A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied. Розглядається система диференціальних рівнянь, не розв'язних відносно похідної. Вказуються достатні умови існування розв’язків з особливими початковими даними. Вивчаються розмірність множини таких розв'язків і їх асимптотичні властивості. Institute of Mathematics, NAS of Ukraine 1993-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5952 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 10 (1993); 1461–1464 Український математичний журнал; Том 45 № 10 (1993); 1461–1464 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5952/8587 https://umj.imath.kiev.ua/index.php/umj/article/view/5952/8588 Copyright (c) 1993 Prosenyuk L. G. |
| spellingShingle | Prosenyuk, L. G. Просенюк, Л. Г. Просенюк, Л. Г. Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title | Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title_alt | О существовании и асимптотических свойствах решений одной вещественной системы дифференциальных уравнений, не разрешенных относительно производной |
| title_full | Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title_fullStr | Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title_full_unstemmed | Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title_short | Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| title_sort | existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5952 |
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