On averaging of stochastic systems of integrodifferential equations with the «Poisson noise»
An analog of N. N. Bogolyubov's theorem is proved concerning averaging, on a finite time interval, of a system of integral-differential equations with a ≪Poisson noise≫.
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| Date: | 2025 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9369 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513521710661632 |
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| author | Kolomiets , V. G. Melnikov , A. I. Muhitdinov , T. M. Коломиец , В. Г. Мельников , А. И. Мухитдинов , Т. М. |
| author_facet | Kolomiets , V. G. Melnikov , A. I. Muhitdinov , T. M. Коломиец , В. Г. Мельников , А. И. Мухитдинов , Т. М. |
| author_sort | Kolomiets , V. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-30T14:20:55Z |
| description | An analog of N. N. Bogolyubov's theorem is proved concerning averaging, on a finite time interval, of a system of integral-differential equations with a ≪Poisson noise≫. |
| first_indexed | 2026-03-24T03:46:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9369 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:46:00Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/45/5280f5814dbd026867a0bf647ee4f445.pdf |
| spelling | umjimathkievua-article-93692025-06-30T14:20:55Z On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» Об усреднении стохастических систем интегродифференциальных уравнений с «пуассоновским шумом» Kolomiets , V. G. Melnikov , A. I. Muhitdinov , T. M. Коломиец , В. Г. Мельников , А. И. Мухитдинов , Т. М. - An analog of N. N. Bogolyubov's theorem is proved concerning averaging, on a finite time interval, of a system of integral-differential equations with a ≪Poisson noise≫. Доказан аналог теоремы Н. Н. Боголюбова об усреднении па конечном интервале времени системы стохастических интегро-дифференциальных уравнении с «пуассоновским шумом». Доведено аналог теореми М. М. Боголюбова про усереднення на скінченному інтервалі часу системи стохастичних інтегро-дифференціальних рівнянь з «пуассонівським шумом». Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9369 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991); 273-277 Український математичний журнал; Том 43 № 2 (1991); 273-277 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9369/10519 Copyright (c) 1991 В. Г. Коломиец , А. И. Мельников , Т. М. Мухитдинов |
| spellingShingle | Kolomiets , V. G. Melnikov , A. I. Muhitdinov , T. M. Коломиец , В. Г. Мельников , А. И. Мухитдинов , Т. М. On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title | On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title_alt | Об усреднении стохастических систем интегродифференциальных уравнений с «пуассоновским шумом» |
| title_full | On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title_fullStr | On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title_full_unstemmed | On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title_short | On averaging of stochastic systems of integrodifferential equations with the «Poisson noise» |
| title_sort | on averaging of stochastic systems of integrodifferential equations with the «poisson noise» |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9369 |
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