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...
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| Published in: | Нелінійні коливання |
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| Date: | 2004 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/177026 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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
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| ISSN: | 1562-3076 |