Structure of integrals of equations of oscillations of a conical shell closed at a vertex
We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest derivative and equations with a regular singular p...
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| Datum: | 2026 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6702 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512504380129280 |
|---|---|
| author | Trotsenko , V. A. Trotsenko , Yu. V. Троценко, В. А. Троценко, Ю. В. |
| author_facet | Trotsenko , V. A. Trotsenko , Yu. V. Троценко, В. А. Троценко, Ю. В. |
| author_sort | Trotsenko , V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-10T11:31:40Z |
| description | We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest derivative and equations with a regular singular point, we establish the formal structure of regular integrals of the original equations. |
| doi_str_mv | 10.37863/umzh.v73i10.6702 |
| first_indexed | 2026-03-24T03:29:50Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6702 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:29:50Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d2/47cedf10311cded774b739aed8133fd2 |
| spelling | umjimathkievua-article-67022026-02-10T11:31:40Z Structure of integrals of equations of oscillations of a conical shell closed at a vertex Структура інтегралів рівнянь коливань замкненої у вершині конічної оболонки Trotsenko , V. A. Trotsenko , Yu. V. Троценко, В. А. Троценко, Ю. В. варіаційні метроди, сингулярно збурені крайові задачі, тонкостінні оболонки обертання We consider a system of differential equations, which describes the free oscillations of a thin-walled conical shell of rotation with a vertex. Based on the analytical theory of systems of differential equations with a small parameter at the highest derivative and equations with a regular singular point, we establish the formal structure of regular integrals of the original equations. УДК 539.3:534.13 Розглядається система диференцiальних рiвнянь, яка описує вiльнi коливання тонкостiнної конiчної оболонки обертання з вершиною. Виходячи з аналiтичної теорiї систем диференцiальних рiвнянь з малим параметром при старшiй похiднiй i рiвнянь з регулярною особливою точкою встановлена формальна структура регулярних iнтегралiв початкових рiвнянь Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6702 10.37863/umzh.v73i10.6702 Ukrains’kyi Matematychnyi Zhurnal; Vol. 73 No. 10 (2021); 1414-1422 Український математичний журнал; Том 73 № 10 (2021); 1414-1422 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/6702/9124 Copyright (c) 2021 Юрій Троценко |
| spellingShingle | Trotsenko , V. A. Trotsenko , Yu. V. Троценко, В. А. Троценко, Ю. В. Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title | Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title_alt | Структура інтегралів рівнянь коливань замкненої у вершині конічної оболонки |
| title_full | Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title_fullStr | Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title_full_unstemmed | Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title_short | Structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| title_sort | structure of integrals of equations of oscillations of a conical shell closed at a vertex |
| topic_facet | варіаційні метроди сингулярно збурені крайові задачі тонкостінні оболонки обертання |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6702 |
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