Fluctuations of forced vibrations in a medium with resistance
For a differential oscillation equation with coefficients perturbed by Gaussian delta-correlated random processes with a random external force, we obtain closed moment equations. In a special case, the mathematical expectation and the covariance function are found.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5792 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512013246005248 |
|---|---|
| author | Kovtun, I. I. Ковтун, И. И. Ковтун, И. И. |
| author_facet | Kovtun, I. I. Ковтун, И. И. Ковтун, И. И. |
| author_sort | Kovtun, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:17:59Z |
| description | For a differential oscillation equation with coefficients perturbed by Gaussian delta-correlated random processes with a random external force, we obtain closed moment equations. In a special case, the mathematical expectation and the covariance function are found. |
| first_indexed | 2026-03-24T03:22:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5792 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:02Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ad/f98caa607777c7782f84d0fa4c9dc6ad.pdf |
| spelling | umjimathkievua-article-57922020-03-19T09:17:59Z Fluctuations of forced vibrations in a medium with resistance Флуктуации вынужденных колебаний в среде с сопротивлением Kovtun, I. I. Ковтун, И. И. Ковтун, И. И. For a differential oscillation equation with coefficients perturbed by Gaussian delta-correlated random processes with a random external force, we obtain closed moment equations. In a special case, the mathematical expectation and the covariance function are found. Для диференціального рівняння коливань з коефіцієнтами, збуреними гауссівськими дельта-корельованими випадковими процесами, із випадковою зовнішнєю силою одержані замкнені рівняння для моментів. Зокрема, знайдені математичне сподівання та коваріаційна функція. Institute of Mathematics, NAS of Ukraine 1993-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5792 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 1 (1993); 132–135 Український математичний журнал; Том 45 № 1 (1993); 132–135 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5792/8268 https://umj.imath.kiev.ua/index.php/umj/article/view/5792/8269 Copyright (c) 1993 Kovtun I. I. |
| spellingShingle | Kovtun, I. I. Ковтун, И. И. Ковтун, И. И. Fluctuations of forced vibrations in a medium with resistance |
| title | Fluctuations of forced vibrations in a medium with resistance |
| title_alt | Флуктуации вынужденных колебаний в среде с сопротивлением |
| title_full | Fluctuations of forced vibrations in a medium with resistance |
| title_fullStr | Fluctuations of forced vibrations in a medium with resistance |
| title_full_unstemmed | Fluctuations of forced vibrations in a medium with resistance |
| title_short | Fluctuations of forced vibrations in a medium with resistance |
| title_sort | fluctuations of forced vibrations in a medium with resistance |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5792 |
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