Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
UDC 517.928 We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence of the solution of a singularly perturbed integro...
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| Date: | 2026 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1529 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507324014133248 |
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| author | Dauylbayev, M. K. Uaissov, A. B. Дауылбаев, М. К. Уаисов, А. Б. Дауылбаев, М. К. Уаисов, А. Б. |
| author_facet | Dauylbayev, M. K. Uaissov, A. B. Дауылбаев, М. К. Уаисов, А. Б. Дауылбаев, М. К. Уаисов, А. Б. |
| author_sort | Dauylbayev, M. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:27:57Z |
| description | UDC 517.928
We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential
equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence
of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding
modified degenerate boundary-value problem is proved. |
| doi_str_mv | 10.3842/umzh.v71i11.1529 |
| first_indexed | 2026-03-24T02:07:30Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1529 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T02:07:30Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2d/81839895a05f5f39448c75d1926e252d |
| spelling | umjimathkievua-article-15292026-02-09T14:27:57Z Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations Асимптотическое поведение решений краевой задачи для сингулярно возмущенных интегро-дифференциальных уравнений Dauylbayev, M. K. Uaissov, A. B. Дауылбаев, М. К. Уаисов, А. Б. Дауылбаев, М. К. Уаисов, А. Б. UDC 517.928 We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved. УДК 517.928 Вивчається асимптотична поведiнка розв’язкiв крайової задачi з граничними стрибками для лiнiйних iнтегро-диференцiальних рiвнянь третього порядку з малими параметрами при двох старших похiдних. Показано асимптотичну збiжнiсть розв’язку сингулярно збуреної iнтегро-диференцiальної крайової задачi до розв’язку вiдповiдної модифiкованої виродженої крайової задачi. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1529 10.3842/umzh.v71i11.1529 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1466-1479 Український математичний журнал; Том 71 № 11 (2019); 1466-1479 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/1529/511 Copyright (c) 2019 Dauylbayev M. K.; Uaissov A. B. |
| spellingShingle | Dauylbayev, M. K. Uaissov, A. B. Дауылбаев, М. К. Уаисов, А. Б. Дауылбаев, М. К. Уаисов, А. Б. Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations |
| title | Asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| title_alt | Асимптотическое поведение решений краевой задачи для
сингулярно возмущенных интегро-дифференциальных уравнений |
| title_full | Asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| title_fullStr | Asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| title_full_unstemmed | Asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| title_short | Asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| title_sort | asymptotic behavior of the solutions of boundary-value
problems for singularly perturbed integro-differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1529 |
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