On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation
On the basis of periodic Ateb functions, in the resonance and nonresonance cases, we construct the asymptotic approximation of one-frequency solutions of a boundary-value problem for a nonlinear nonautonomous equation.
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5160 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511364195287040 |
|---|---|
| author | Sokil, B. I. Сокіл, Б. І. |
| author_facet | Sokil, B. I. Сокіл, Б. І. |
| author_sort | Sokil, B. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:50Z |
| description | On the basis of periodic Ateb functions, in the resonance and nonresonance cases, we construct the asymptotic approximation of one-frequency solutions of a boundary-value problem for a nonlinear nonautonomous equation. |
| first_indexed | 2026-03-24T03:11:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5160 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:11:43Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6f/c497fccaef82bb5d8e58f03ef679926f.pdf |
| spelling | umjimathkievua-article-51602020-03-18T21:25:50Z On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation Про асимптотичні наближення розв'язку крайової задачі для одного нелінійного неавтономного рівняння Sokil, B. I. Сокіл, Б. І. On the basis of periodic Ateb functions, in the resonance and nonresonance cases, we construct the asymptotic approximation of one-frequency solutions of a boundary-value problem for a nonlinear nonautonomous equation. На основі періодичних Ateb-функцій будується для резонансного і нерезонансного випадків асимптотичне наближення одночастотних розв'язків крайової задачі для нелінійного неавтономного рівняння. Institute of Mathematics, NAS of Ukraine 1997-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5160 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 11 (1997); 1580–1583 Український математичний журнал; Том 49 № 11 (1997); 1580–1583 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5160/7016 https://umj.imath.kiev.ua/index.php/umj/article/view/5160/7017 Copyright (c) 1997 Sokil B. I. |
| spellingShingle | Sokil, B. I. Сокіл, Б. І. On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title | On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title_alt | Про асимптотичні наближення розв'язку крайової задачі для одного нелінійного неавтономного рівняння |
| title_full | On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title_fullStr | On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title_full_unstemmed | On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title_short | On asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| title_sort | on asymptotic approximation of a solution of a boundary-value problem for a nonlinear nonautonomous equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5160 |
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