Method of two-scale decomposition of the solution of integro-differential equation with perturbation
The solution of an integrodifferential equation with a small parameter is constructed by means of the two-variable expansion procedure. The obtained solutions of the van der Pol equation by the two-variable expansion method and the averaging method are compared. The obtained solutions coincide entir...
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| Date: | 1991 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9318 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513498630455296 |
|---|---|
| author | Faizibaev , E. F. Kadyrbekov , T. Файзибаев , Э. Ф. Кадырбеков , Т. |
| author_facet | Faizibaev , E. F. Kadyrbekov , T. Файзибаев , Э. Ф. Кадырбеков , Т. |
| author_sort | Faizibaev , E. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | The solution of an integrodifferential equation with a small parameter is constructed by means of the two-variable expansion procedure. The obtained solutions of the van der Pol equation by the two-variable expansion method and the averaging method are compared. The obtained solutions coincide entirely to within quantities of second order of smallness. |
| first_indexed | 2026-03-24T03:45:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9318 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:38Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9e/3b52213de57d1f44ef6c0ab1f8ab8b9e |
| spelling | umjimathkievua-article-93182025-06-19T08:20:09Z Method of two-scale decomposition of the solution of integro-differential equation with perturbation Метод двухмасштабного разложения решения интегро-дифференциального уравнения с малым параметром Faizibaev , E. F. Kadyrbekov , T. Файзибаев , Э. Ф. Кадырбеков , Т. The solution of an integrodifferential equation with a small parameter is constructed by means of the two-variable expansion procedure. The obtained solutions of the van der Pol equation by the two-variable expansion method and the averaging method are compared. The obtained solutions coincide entirely to within quantities of second order of smallness. Посредством метода двухмасштабного разложения строится решение интегро-дифференциального уравнения с малым параметром. Проводится сопоставление найденных решений уравнения Ван-дер-Поля методами двухмасштабного разложения и усреднения. Полученные решения полностью совпадают с точностью до величин второго порядка малости. За допомогою методу двомасштабного розкладу будується розв’язок інтегро-диференціального рівняння з малим параметром. Проводиться порівняння знайдених розв’язків рівняння Ван-дер-Поля методами двомасштабного розкладу і усереднення. Одержані розв’язки повністю співпадають з точністю до величин другого порядку малості. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9318 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 129-133 Український математичний журнал; Том 43 № 1 (1991); 129-133 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9318/10493 Copyright (c) 1991 Э. Ф. Файзибаев , Т. Кадырбеков |
| spellingShingle | Faizibaev , E. F. Kadyrbekov , T. Файзибаев , Э. Ф. Кадырбеков , Т. Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title | Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title_alt | Метод двухмасштабного разложения решения интегро-дифференциального уравнения с малым параметром |
| title_full | Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title_fullStr | Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title_full_unstemmed | Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title_short | Method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| title_sort | method of two-scale decomposition of the solution of integro-differential equation with perturbation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9318 |
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