On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type
We prove a theorem on the application of the Bogolyubov–Mitropol'skii averaging principle to stochastic partial differential equations of the hyperbolic type.
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| Date: | 2003 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3946 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510077910253568 |
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| author | Kolomiyets, V. G. Kolomiets, O. V. Mitropolskiy, Yu. A. Коломієць, В. Г. Коломієць, О. В. Митропольський, Ю. О. |
| author_facet | Kolomiyets, V. G. Kolomiets, O. V. Mitropolskiy, Yu. A. Коломієць, В. Г. Коломієць, О. В. Митропольський, Ю. О. |
| author_sort | Kolomiyets, V. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | We prove a theorem on the application of the Bogolyubov–Mitropol'skii averaging principle to stochastic partial differential equations of the hyperbolic type. |
| first_indexed | 2026-03-24T02:51:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3946 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:51:16Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/43/3ee63ef2fde531e7c042406188656843.pdf |
| spelling | umjimathkievua-article-39462020-03-18T20:15:55Z On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type Про застосування принципу усереднення в стохастичних диференціальних рівняннях гіперболічного типу Kolomiyets, V. G. Kolomiets, O. V. Mitropolskiy, Yu. A. Коломієць, В. Г. Коломієць, О. В. Митропольський, Ю. О. We prove a theorem on the application of the Bogolyubov–Mitropol'skii averaging principle to stochastic partial differential equations of the hyperbolic type. Доведено теорему про застосування принципу усереднення Боголюбова - Митропольського для стохастичиих диференціальних рівнянь з частинними похідними гіперболічного типу. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3946 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 711-715 Український математичний журнал; Том 55 № 5 (2003); 711-715 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3946/4605 https://umj.imath.kiev.ua/index.php/umj/article/view/3946/4606 Copyright (c) 2003 Kolomiyets V. G.; Kolomiets O. V.; Mitropolskiy Yu. A. |
| spellingShingle | Kolomiyets, V. G. Kolomiets, O. V. Mitropolskiy, Yu. A. Коломієць, В. Г. Коломієць, О. В. Митропольський, Ю. О. On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title | On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title_alt | Про застосування принципу
усереднення в стохастичних диференціальних рівняннях гіперболічного типу |
| title_full | On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title_fullStr | On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title_full_unstemmed | On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title_short | On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type |
| title_sort | on the application of the averaging principle in stochastic differential equations of hyperbolic type |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3946 |
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