A MEAN FIELD TYPE DIFFERENTIAL INCLUSION WITH UPPER SEMICONTINUOUS RIGHT-HAND SIDE
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
A MEAN FIELD TYPE DIFFERENTIAL INCLUSION WITH UPPER SEMICONTINUOUS RIGHT-HAND SIDE
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| Автор |
Averboukh, Y. V.
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| Тематика |
MEAN FIELD TYPE DIFFERENTIAL INCLUSIONS
MEAN FIELD TYPE OPTIMAL CONTROL STABILITY ANALYSIS |
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| Описание |
Mean field type differential inclusions appear within the theory of mean field type control through the convexification of a right-hand side. We study the case when the right-hand side of a differential inclusion depends on the state of an agent and the distribution of agents in an upper semicontinuous way. The main result of the paper is the existence and the stability of the solution of a mean field type differential inclusion. Furthermore, we show that the value function of the mean field type optimal control problem depends on an initial state and a parameter semicontinuously. © 2022 Udmurt State University. All rights reserved.
Ministry of Education and Science of the Russian Federation, Minobrnauka, (075-02-2022-874) Funding. The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation (Agreement number 075-02-2022-874). |
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| Дата |
2024-04-08T11:07:54Z
2024-04-08T11:07:54Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Averboukh, YV 2022, 'A MEAN FIELD TYPE DIFFERENTIAL INCLUSION WITH UPPER SEMICONTINUOUS RIGHT-HAND SIDE', Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, Том. 32, № 4, стр. 489-501. https://doi.org/10.35634/vm220401
Averboukh, Y. V. (2022). A MEAN FIELD TYPE DIFFERENTIAL INCLUSION WITH UPPER SEMICONTINUOUS RIGHT-HAND SIDE. Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 32(4), 489-501. https://doi.org/10.35634/vm220401 1994-9197 Final All Open Access; Bronze Open Access https://www.mathnet.ru/php/getFT.phtml?jrnid=vuu&paperid=822&what=fullt&option_lang=eng https://www.mathnet.ru/php/getFT.phtml?jrnid=vuu&paperid=822&what=fullt&option_lang=eng http://elar.urfu.ru/handle/10995/131537 49954424 10.35634/vm220401 85148663329 000904711300001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Udmurt State University
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| Источник |
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki |
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