Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
The object of this paper is to study the problem of constructing an approximate solution to the first order weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients. Based on asymptotic techniques in nonlinear mechanics an algorithm for asymptotic inte...
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| Дата: | 2004 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2004
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177026 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients / Y. A. Mitropol’skiy, G. Matarazzo, A. Pompei, V. H. Samoylenko // Нелінійні коливання. — 2004. — Т. 7, № 4. — С. 475-486 . — Бібліогр.: 16 назв. — рос. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1770262021-02-10T01:26:07Z Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients Mitropolsky, Y.A. Matarazzo, G. Pompei, A. Samoilenko, V. H. The object of this paper is to study the problem of constructing an approximate solution to the first order weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients. Based on asymptotic techniques in nonlinear mechanics an algorithm for asymptotic integration of the differential equation under consideration is given. Розглядається задача про побудову наближених розв’язкiв слабконелiнiйного диференцiального рiвняння першого порядку з вiдхиленням аргументу i повiльно змiнними коефiцiєнтами. На основi асимптотичних методiв нелiнiйної механiки запропоновано алгоритм асимптотичного iнтегрування диференцiального рiвняння вказаного вище класу 2004 Article Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients / Y. A. Mitropol’skiy, G. Matarazzo, A. Pompei, V. H. Samoylenko // Нелінійні коливання. — 2004. — Т. 7, № 4. — С. 475-486 . — Бібліогр.: 16 назв. — рос. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177026 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The object of this paper is to study the problem of constructing an approximate solution to the first order
weakly nonlinear ordinary differential equation with deviated argument and slowly varying coefficients.
Based on asymptotic techniques in nonlinear mechanics an algorithm for asymptotic integration of the
differential equation under consideration is given. |
| format |
Article |
| author |
Mitropolsky, Y.A. Matarazzo, G. Pompei, A. Samoilenko, V. H. |
| spellingShingle |
Mitropolsky, Y.A. Matarazzo, G. Pompei, A. Samoilenko, V. H. Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients Нелінійні коливання |
| author_facet |
Mitropolsky, Y.A. Matarazzo, G. Pompei, A. Samoilenko, V. H. |
| author_sort |
Mitropolsky, Y.A. |
| title |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| title_short |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| title_full |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| title_fullStr |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| title_full_unstemmed |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| title_sort |
asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients |
| publisher |
Інститут математики НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/177026 |
| citation_txt |
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
/ Y. A. Mitropol’skiy, G. Matarazzo, A. Pompei, V. H. Samoylenko // Нелінійні коливання. — 2004. — Т. 7, № 4. — С. 475-486 . — Бібліогр.: 16 назв. — рос. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
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| first_indexed |
2023-10-18T22:42:36Z |
| last_indexed |
2023-10-18T22:42:36Z |
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