Integro-differential equations with multivalued solutions
We prove a theorem on the unique existence of a classical solution of an integro-differential equation with Hukuhara derivative. We also justify an averaging scheme for equations of this type in the standard form.
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| Datum: | 2000 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4426 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510558755749888 |
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| author | Plotnikov, A. V. Tumbrukaki, A. V. Плотников, А. В. Тумбрукаки, А. В. Плотников, А. В. Тумбрукаки, А. В. |
| author_facet | Plotnikov, A. V. Tumbrukaki, A. V. Плотников, А. В. Тумбрукаки, А. В. Плотников, А. В. Тумбрукаки, А. В. |
| author_sort | Plotnikov, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:54Z |
| description | We prove a theorem on the unique existence of a classical solution of an integro-differential equation with Hukuhara derivative. We also justify an averaging scheme for equations of this type in the standard form. |
| first_indexed | 2026-03-24T02:58:55Z |
| format | Article |
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| id | umjimathkievua-article-4426 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:55Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/55/5615bc02a2c7f297e28e3e6ee7e6fd55.pdf |
| spelling | umjimathkievua-article-44262020-03-18T20:28:54Z Integro-differential equations with multivalued solutions Интегро-дифференциальные уравнения с многозначными решениями Plotnikov, A. V. Tumbrukaki, A. V. Плотников, А. В. Тумбрукаки, А. В. Плотников, А. В. Тумбрукаки, А. В. We prove a theorem on the unique existence of a classical solution of an integro-differential equation with Hukuhara derivative. We also justify an averaging scheme for equations of this type in the standard form. Доводиться теорема існування та єдиності класичного розв'язку для інтегро-диференціального рівняння з похідною Хукухари, а також обґрунтовується одна із схем усереднення для такого типу рівнянь в стандартному вигляді. Institute of Mathematics, NAS of Ukraine 2000-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4426 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 3 (2000); 359-367 Український математичний журнал; Том 52 № 3 (2000); 359-367 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4426/5556 https://umj.imath.kiev.ua/index.php/umj/article/view/4426/5557 Copyright (c) 2000 Plotnikov A. V.; Tumbrukaki A. V. |
| spellingShingle | Plotnikov, A. V. Tumbrukaki, A. V. Плотников, А. В. Тумбрукаки, А. В. Плотников, А. В. Тумбрукаки, А. В. Integro-differential equations with multivalued solutions |
| title | Integro-differential equations with multivalued solutions |
| title_alt | Интегро-дифференциальные уравнения с многозначными решениями |
| title_full | Integro-differential equations with multivalued solutions |
| title_fullStr | Integro-differential equations with multivalued solutions |
| title_full_unstemmed | Integro-differential equations with multivalued solutions |
| title_short | Integro-differential equations with multivalued solutions |
| title_sort | integro-differential equations with multivalued solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4426 |
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