New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies
The existence of a 5-parameter family of exact solutions is proved for differential equations describing the motion of many bodies that attract one another according to an arbitrary law depending on the distances between the bodies.
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| Datum: | 1998 |
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| Hauptverfasser: | , , , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4934 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511118888271872 |
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| author | Gadomskii, L. Ya. Grebenikov, E. A. Gurskaya, A. R. Zemtsova, N. I. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. |
| author_facet | Gadomskii, L. Ya. Grebenikov, E. A. Gurskaya, A. R. Zemtsova, N. I. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. |
| author_sort | Gadomskii, L. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:35Z |
| description | The existence of a 5-parameter family of exact solutions is proved for differential equations describing the motion of many bodies that attract one another according to an arbitrary law depending on the distances between the bodies. |
| first_indexed | 2026-03-24T03:07:49Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4934 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:49Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/72/693d7d792243915e5654ba8ae4c91772.pdf |
| spelling | umjimathkievua-article-49342020-03-18T21:17:35Z New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies Новые классы точных решений в проблеме многих тел, взаимно притягивающих друг друга по произвольному закону, зависящему от взаимных расстояний Gadomskii, L. Ya. Grebenikov, E. A. Gurskaya, A. R. Zemtsova, N. I. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. The existence of a 5-parameter family of exact solutions is proved for differential equations describing the motion of many bodies that attract one another according to an arbitrary law depending on the distances between the bodies. Доведено існування 5-парамеірпчної сім'ї точних розв'язків диференціальних рівнянь руху багатьох чіл, що взаємно притягуються один до одного за довільним законом, який залежить від відстаней між ними. Institute of Mathematics, NAS of Ukraine 1998-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4934 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 3 (1998); 329–337 Український математичний журнал; Том 50 № 3 (1998); 329–337 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4934/6567 https://umj.imath.kiev.ua/index.php/umj/article/view/4934/6568 Copyright (c) 1998 Gadomskii L. Ya.; Grebenikov E. A.; Gurskaya A. R.; Zemtsova N. I. |
| spellingShingle | Gadomskii, L. Ya. Grebenikov, E. A. Gurskaya, A. R. Zemtsova, N. I. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. Гадомскиіі, Л. Я. Гребеников, Е. А. Гурская, А. Р. Земцова, Н. И. New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title | New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title_alt | Новые классы точных решений в проблеме многих тел, взаимно притягивающих друг друга по произвольному закону, зависящему от взаимных расстояний |
| title_full | New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title_fullStr | New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title_full_unstemmed | New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title_short | New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| title_sort | new classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4934 |
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