On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters
For a second-order quasilinear differential system whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we prove that, under certain conditions, there exists a particular solution with a similar structure in the case of purely imaginary roots of the char...
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| Date: | 1998 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian 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/4903 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511084761317376 |
|---|---|
| author | Kostin, A. V. Shchegolev, S. A. Костин, А. В. Щеголев, С. А. Костин, А. В. Щеголев, С. А. |
| author_facet | Kostin, A. V. Shchegolev, S. A. Костин, А. В. Щеголев, С. А. Костин, А. В. Щеголев, С. А. |
| author_sort | Kostin, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:53Z |
| description | For a second-order quasilinear differential system whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we prove that, under certain conditions, there exists a particular solution with a similar structure in the case of purely imaginary roots of the characteristic equation for the matrix of coefficients of the linear part. |
| first_indexed | 2026-03-24T03:07:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4903 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:16Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/18/07f3db7d1fd206628df3bf0882b3e418.pdf |
| spelling | umjimathkievua-article-49032020-03-18T21:16:53Z On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters О решениях квазилинейной дифференциальной системы второго порядка, представимых рядами Фурье, содержащими медленно меняющиеся параметры Kostin, A. V. Shchegolev, S. A. Костин, А. В. Щеголев, С. А. Костин, А. В. Щеголев, С. А. For a second-order quasilinear differential system whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we prove that, under certain conditions, there exists a particular solution with a similar structure in the case of purely imaginary roots of the characteristic equation for the matrix of coefficients of the linear part. Для квазілінійної диференціальної системи другого порядку, коефіцієнти якої мають вигляд рядів Фур'є з повільно змінними коефіцієнтами і частотою, при певних умовах доведено існування частинного розв'язку аналог ічної структури у випадку суто уявних коренів характеристичного рівняння матриці коефіцієнтів лінійної частий. Institute of Mathematics, NAS of Ukraine 1998-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4903 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 5 (1998); 654–664 Український математичний журнал; Том 50 № 5 (1998); 654–664 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4903/6505 https://umj.imath.kiev.ua/index.php/umj/article/view/4903/6506 Copyright (c) 1998 Kostin A. V.; Shchegolev S. A. |
| spellingShingle | Kostin, A. V. Shchegolev, S. A. Костин, А. В. Щеголев, С. А. Костин, А. В. Щеголев, С. А. On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title | On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title_alt | О решениях квазилинейной дифференциальной системы
второго порядка, представимых рядами Фурье, содержащими медленно меняющиеся параметры |
| title_full | On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title_fullStr | On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title_full_unstemmed | On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title_short | On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters |
| title_sort | on solutions of a second-order quasilinear differential system representable by fourier series with slowly varying parameters |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4903 |
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