On integral manifolds of oscillating systems with slowly varying frequencies
By using averages of functions, we construct the integral manifold of an oscillating system that passes through resonances in the course of its evolution. We investigate the smoothness of the integral manifold and obtain estimates for its partial derivatives.
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| Date: | 1998 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4974 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511164233940992 |
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| author | Lakusta, L. M. Petryshyn, R. I. Лакуста, Л. М. Петришин, Р. І. |
| author_facet | Lakusta, L. M. Petryshyn, R. I. Лакуста, Л. М. Петришин, Р. І. |
| author_sort | Lakusta, L. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:21:24Z |
| description | By using averages of functions, we construct the integral manifold of an oscillating system that passes through resonances in the course of its evolution. We investigate the smoothness of the integral manifold and obtain estimates for its partial derivatives. |
| first_indexed | 2026-03-24T03:08:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4974 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:08:32Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/09/0e99bf158a32746cc841f32dad979c09.pdf |
| spelling | umjimathkievua-article-49742020-03-18T21:21:24Z On integral manifolds of oscillating systems with slowly varying frequencies До питания про інтегральні многовид коливних систем з повільно змінними частотами Lakusta, L. M. Petryshyn, R. I. Лакуста, Л. М. Петришин, Р. І. By using averages of functions, we construct the integral manifold of an oscillating system that passes through resonances in the course of its evolution. We investigate the smoothness of the integral manifold and obtain estimates for its partial derivatives. За допомогою середніх функцій побудовано інтегральний миоговид коливної системи, яка в процесі еволюції проходить через резонанси. Досліджено гладкість інтегрального многовиду і встановлено оцінки його частинних похідних. Institute of Mathematics, NAS of Ukraine 1998-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4974 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 1 (1998); 87–93 Український математичний журнал; Том 50 № 1 (1998); 87–93 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4974/6647 https://umj.imath.kiev.ua/index.php/umj/article/view/4974/6648 Copyright (c) 1998 Lakusta L. M.; Petryshyn R. I. |
| spellingShingle | Lakusta, L. M. Petryshyn, R. I. Лакуста, Л. М. Петришин, Р. І. On integral manifolds of oscillating systems with slowly varying frequencies |
| title | On integral manifolds of oscillating systems with slowly varying frequencies |
| title_alt | До питания про інтегральні многовид коливних
систем з повільно змінними частотами |
| title_full | On integral manifolds of oscillating systems with slowly varying frequencies |
| title_fullStr | On integral manifolds of oscillating systems with slowly varying frequencies |
| title_full_unstemmed | On integral manifolds of oscillating systems with slowly varying frequencies |
| title_short | On integral manifolds of oscillating systems with slowly varying frequencies |
| title_sort | on integral manifolds of oscillating systems with slowly varying frequencies |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4974 |
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