Integration of a class of systems of differential equations by using a contour integral
For systems ofq linear differential equations ofnth order with polynomial matrix coefficients, a fundamental family of formal solutions defined in a certain sector of a complex plane is constructed by using the Laplace contour integral. For large positive values of an independent variable, the asymp...
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| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5379 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511609311461376 |
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| author | Ivanyuk, N. N. Іванюк, М. М. |
| author_facet | Ivanyuk, N. N. Іванюк, М. М. |
| author_sort | Ivanyuk, N. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | For systems ofq linear differential equations ofnth order with polynomial matrix coefficients, a fundamental family of formal solutions defined in a certain sector of a complex plane is constructed by using the Laplace contour integral. For large positive values of an independent variable, the asymptotic representations of indicated solutions are obtained. |
| first_indexed | 2026-03-24T03:15:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5379 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:15:37Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2c/dff7772ac35bb1cc788ec7a0d1ff4c2c.pdf |
| spelling | umjimathkievua-article-53792020-03-19T08:58:17Z Integration of a class of systems of differential equations by using a contour integral Інтегрування одного класу систем диференціальних рівнянь за допомогою контурного інтеграла Ivanyuk, N. N. Іванюк, М. М. For systems ofq linear differential equations ofnth order with polynomial matrix coefficients, a fundamental family of formal solutions defined in a certain sector of a complex plane is constructed by using the Laplace contour integral. For large positive values of an independent variable, the asymptotic representations of indicated solutions are obtained. Для систем $q$ лінійних диференціальних рівнянь $n$-го порядку з поліноміальними матрицями-коефіцієнтами за допомогою контурного інтеграла Лапласа будується фундаментальна сім'я формальних розв'язків, визначених в деякому секторі комплексної площини. Виведені асимптотичні зображення вказаних розв'язків для великих додатних значень незалежної змінної. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5379 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 30–38 Український математичний журнал; Том 47 № 1 (1995); 30–38 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5379/7449 https://umj.imath.kiev.ua/index.php/umj/article/view/5379/7450 Copyright (c) 1995 Ivanyuk N. N. |
| spellingShingle | Ivanyuk, N. N. Іванюк, М. М. Integration of a class of systems of differential equations by using a contour integral |
| title | Integration of a class of systems of differential equations by using a contour integral |
| title_alt | Інтегрування одного класу систем диференціальних рівнянь за допомогою контурного інтеграла |
| title_full | Integration of a class of systems of differential equations by using a contour integral |
| title_fullStr | Integration of a class of systems of differential equations by using a contour integral |
| title_full_unstemmed | Integration of a class of systems of differential equations by using a contour integral |
| title_short | Integration of a class of systems of differential equations by using a contour integral |
| title_sort | integration of a class of systems of differential equations by using a contour integral |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5379 |
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