On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
We investigate smoothness properties of the roots of algebraic equations with almost constant coefficients and construct a transformation, which may be efficiently used for the investigation of the asymptotic behavior of a fundamental family of solutions of a broad class of nonautonomous linear diff...
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4037 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510167430332416 |
|---|---|
| author | Evtukhov, V. M. Евтухов, В. М. Евтухов, В. М. |
| author_facet | Evtukhov, V. M. Евтухов, В. М. Евтухов, В. М. |
| author_sort | Evtukhov, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:16Z |
| description | We investigate smoothness properties of the roots of algebraic equations with almost constant coefficients and construct a transformation, which may be efficiently used for the investigation of the asymptotic behavior of a fundamental family of solutions of a broad class of nonautonomous linear differential equations of the nth order. |
| first_indexed | 2026-03-24T02:52:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4037 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:52:42Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/20/db4e947300672cbddb6347a86469db20.pdf |
| spelling | umjimathkievua-article-40372020-03-18T20:20:16Z On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order Некоторые вопросы асимптотической теории линейных дифференциальных уравнений $n$-го порядка Evtukhov, V. M. Евтухов, В. М. Евтухов, В. М. We investigate smoothness properties of the roots of algebraic equations with almost constant coefficients and construct a transformation, which may be efficiently used for the investigation of the asymptotic behavior of a fundamental family of solutions of a broad class of nonautonomous linear differential equations of the nth order. Досліджуються гладкісні властивості коренів алгебраїчних рівнянь з майже сталими коефіцієнтами і будується перетворення, яке може бути ефективно використане при дослідженні асимптотичної поведінки фундаментальної сім'ї розв'язків широкого класу неавтономних лінійних диференціальних рівнянь $n$-го порядку. Institute of Mathematics, NAS of Ukraine 2002-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4037 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 1 (2002); 20-42 Український математичний журнал; Том 54 № 1 (2002); 20-42 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4037/4784 https://umj.imath.kiev.ua/index.php/umj/article/view/4037/4785 Copyright (c) 2002 Evtukhov V. M. |
| spellingShingle | Evtukhov, V. M. Евтухов, В. М. Евтухов, В. М. On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title | On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title_alt | Некоторые вопросы асимптотической теории линейных дифференциальных уравнений $n$-го порядка |
| title_full | On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title_fullStr | On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title_full_unstemmed | On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title_short | On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order |
| title_sort | on some problems of the asymptotic theory of linear differential equations of the nth order |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4037 |
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