On the construction of asymptotic approximations for a nonautonomous wave equation
For a nonautonomous wave equation with homogeneous boundary conditions, we construct one-frequency approximations of asymptotic solutions by using periodic Ateb-functions. Resonance and nonresonance cases are considered.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian 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/5568 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511798064578560 |
|---|---|
| author | Sokil, B. I. Сокил, Б. И. Сокил, Б. И. |
| author_facet | Sokil, B. I. Сокил, Б. И. Сокил, Б. И. |
| author_sort | Sokil, B. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:33Z |
| description | For a nonautonomous wave equation with homogeneous boundary conditions, we construct one-frequency approximations of asymptotic solutions by using periodic Ateb-functions. Resonance and nonresonance cases are considered. |
| first_indexed | 2026-03-24T03:18:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5568 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:37Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/25/c962a9da533eb93586d974bad3b55d25.pdf |
| spelling | umjimathkievua-article-55682020-03-19T09:13:33Z On the construction of asymptotic approximations for a nonautonomous wave equation О построении асимптотических приближений для неавтономного волнового уравнения Sokil, B. I. Сокил, Б. И. Сокил, Б. И. For a nonautonomous wave equation with homogeneous boundary conditions, we construct one-frequency approximations of asymptotic solutions by using periodic Ateb-functions. Resonance and nonresonance cases are considered. Для. неавтономного хвильового рівняння з однорідними крайовими умовами будуються одноча-стотні наближення асимптотичних розв’язків на основі використання періодичних Ateb-функцій. Розглядаються резонансний і нерезонансний випадки. Institute of Mathematics, NAS of Ukraine 1995-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5568 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 12 (1995); 1714–1716 Український математичний журнал; Том 47 № 12 (1995); 1714–1716 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5568/7823 https://umj.imath.kiev.ua/index.php/umj/article/view/5568/7824 Copyright (c) 1995 Sokil B. I. |
| spellingShingle | Sokil, B. I. Сокил, Б. И. Сокил, Б. И. On the construction of asymptotic approximations for a nonautonomous wave equation |
| title | On the construction of asymptotic approximations for a nonautonomous wave equation |
| title_alt | О построении асимптотических приближений для неавтономного волнового уравнения |
| title_full | On the construction of asymptotic approximations for a nonautonomous wave equation |
| title_fullStr | On the construction of asymptotic approximations for a nonautonomous wave equation |
| title_full_unstemmed | On the construction of asymptotic approximations for a nonautonomous wave equation |
| title_short | On the construction of asymptotic approximations for a nonautonomous wave equation |
| title_sort | on the construction of asymptotic approximations for a nonautonomous wave equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5568 |
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