Differentiation of Multivalued Mappings. $T$-Derivative
We consider several approaches to the differentiation of multivalued mappings and introduce a new definition of derivative (T-derivative), which generalizes the Hukuhara derivative.
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| Date: | 2000 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4516 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510644144439296 |
|---|---|
| author | Plotnikov, A. V. Плотніков, А. В. |
| author_facet | Plotnikov, A. V. Плотніков, А. В. |
| author_sort | Plotnikov, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:18Z |
| description | We consider several approaches to the differentiation of multivalued mappings and introduce a new definition of derivative (T-derivative), which generalizes the Hukuhara derivative. |
| first_indexed | 2026-03-24T03:00:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4516 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:00:16Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e7/7c6ea5c83ee58feaac54bb746e9676e7.pdf |
| spelling | umjimathkievua-article-45162020-03-18T20:30:18Z Differentiation of Multivalued Mappings. $T$-Derivative Дифференцирование многозначных отображений, $T$-производная Plotnikov, A. V. Плотніков, А. В. We consider several approaches to the differentiation of multivalued mappings and introduce a new definition of derivative (T-derivative), which generalizes the Hukuhara derivative. Розглядаються деякі підходи до диференціювання багатозначних відображень та вводиться нове означення похідної ($T$-похідна), що узагальнює похідну Хукухари. Institute of Mathematics, NAS of Ukraine 2000-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4516 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 8 (2000); 1119-1126 Український математичний журнал; Том 52 № 8 (2000); 1119-1126 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4516/5736 https://umj.imath.kiev.ua/index.php/umj/article/view/4516/5737 Copyright (c) 2000 Plotnikov A. V. |
| spellingShingle | Plotnikov, A. V. Плотніков, А. В. Differentiation of Multivalued Mappings. $T$-Derivative |
| title | Differentiation of Multivalued Mappings. $T$-Derivative |
| title_alt | Дифференцирование многозначных отображений, $T$-производная |
| title_full | Differentiation of Multivalued Mappings. $T$-Derivative |
| title_fullStr | Differentiation of Multivalued Mappings. $T$-Derivative |
| title_full_unstemmed | Differentiation of Multivalued Mappings. $T$-Derivative |
| title_short | Differentiation of Multivalued Mappings. $T$-Derivative |
| title_sort | differentiation of multivalued mappings. $t$-derivative |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4516 |
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