A criterion for the solvability of A linear boundary-value problem for A system of the second order
We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general...
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4484 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510610880462848 |
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| author | Shovkoplyas, V. N. Шовкопляс, В. Н. |
| author_facet | Shovkoplyas, V. N. Шовкопляс, В. Н. |
| author_sort | Shovkoplyas, V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general solution of the considered boundary-value problem. |
| first_indexed | 2026-03-24T02:59:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4484 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:44Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/df/8fc9d33cf71bbe48c8a00f37d1af2fdf.pdf |
| spelling | umjimathkievua-article-44842020-03-18T20:29:37Z A criterion for the solvability of A linear boundary-value problem for A system of the second order Критерій розв'язності лінійної крайової задачі для системи другого порядку Shovkoplyas, V. N. Шовкопляс, В. Н. We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general solution of the considered boundary-value problem. Знайдено необхідні та достатні умови розв'язності двоточкової крайової задачі для систем лінійних диференціальних рівнянь другого порядку в критичному випадку, коли відповідна однорідна крайова задача має нетривіальні розв'язки. Побудовано загальний розв'язок розглядуваної крайової задачі. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4484 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 861–864 Український математичний журнал; Том 52 № 6 (2000); 861–864 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4484/5672 https://umj.imath.kiev.ua/index.php/umj/article/view/4484/5673 Copyright (c) 2000 Shovkoplyas V. N. |
| spellingShingle | Shovkoplyas, V. N. Шовкопляс, В. Н. A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title | A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title_alt | Критерій розв'язності лінійної крайової задачі для системи другого
порядку |
| title_full | A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title_fullStr | A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title_full_unstemmed | A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title_short | A criterion for the solvability of A linear boundary-value problem for A system of the second order |
| title_sort | criterion for the solvability of a linear boundary-value problem for a system of the second order |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4484 |
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