Reduction of differential equations and conditional symmetry
We determine conditions under which partial differential equations are reducible to equations with a smaller number of independent variables and show that these conditions are necessary and sufficient in the case of a single dependent variable.
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| Date: | 1996 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5292 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511511080861696 |
|---|---|
| author | Zhdanov, R. Z. Tsifra, I. M. Жданов, Р. З. Цифра, І. М. |
| author_facet | Zhdanov, R. Z. Tsifra, I. M. Жданов, Р. З. Цифра, І. М. |
| author_sort | Zhdanov, R. Z. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:48Z |
| description | We determine conditions under which partial differential equations are reducible to equations with a smaller number of independent variables and show that these conditions are necessary and sufficient in the case of a single dependent variable. |
| first_indexed | 2026-03-24T03:14:03Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5292 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:14:03Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/89/dc90ec58cfa8c03c3b71dafdb1f5a089.pdf |
| spelling | umjimathkievua-article-52922020-03-18T21:29:48Z Reduction of differential equations and conditional symmetry Редукція диференціальних рівнянь і умовна симетрія Zhdanov, R. Z. Tsifra, I. M. Жданов, Р. З. Цифра, І. М. We determine conditions under which partial differential equations are reducible to equations with a smaller number of independent variables and show that these conditions are necessary and sufficient in the case of a single dependent variable. Знайдено умови, при яких диференціальні рівняння з частинними похідними редукуються до рівняння з меншим числом незалежних змінних. Показано, що ці умови є необхідними і достатніми для рівнянь з однією залежною змінною. Institute of Mathematics, NAS of Ukraine 1996-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5292 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 5 (1996); 595-602 Український математичний журнал; Том 48 № 5 (1996); 595-602 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5292/7276 https://umj.imath.kiev.ua/index.php/umj/article/view/5292/7277 Copyright (c) 1996 Zhdanov R. Z.; Tsifra I. M. |
| spellingShingle | Zhdanov, R. Z. Tsifra, I. M. Жданов, Р. З. Цифра, І. М. Reduction of differential equations and conditional symmetry |
| title | Reduction of differential equations and conditional symmetry |
| title_alt | Редукція диференціальних рівнянь і умовна симетрія |
| title_full | Reduction of differential equations and conditional symmetry |
| title_fullStr | Reduction of differential equations and conditional symmetry |
| title_full_unstemmed | Reduction of differential equations and conditional symmetry |
| title_short | Reduction of differential equations and conditional symmetry |
| title_sort | reduction of differential equations and conditional symmetry |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5292 |
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