Averaging method in multifrequency systems with delay

We justify the averaging method for systems with delay that pass through resonances in the process of evolution. We obtain an estimate of the error of the method that explicitly depends on a small parameter.

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Datum:1998
Hauptverfasser: Bigun, Ya. I., Бігун, Я. Й.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4963
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
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author Bigun, Ya. I.
Бігун, Я. Й.
author_facet Bigun, Ya. I.
Бігун, Я. Й.
author_sort Bigun, Ya. I.
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datestamp_date 2020-03-18T21:20:56Z
description We justify the averaging method for systems with delay that pass through resonances in the process of evolution. We obtain an estimate of the error of the method that explicitly depends on a small parameter.
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spelling umjimathkievua-article-49632020-03-18T21:20:56Z Averaging method in multifrequency systems with delay Метод усереднення в багаточастотних системах з запізненням Bigun, Ya. I. Бігун, Я. Й. We justify the averaging method for systems with delay that pass through resonances in the process of evolution. We obtain an estimate of the error of the method that explicitly depends on a small parameter. Обгрунтовано метод усереднення для систем із запізненням, які в процесі еволюції проходять через резонанси. Одержано оцінку похибки методу, яка явно залежить від малого параметру. Institute of Mathematics, NAS of Ukraine 1998-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4963 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 2 (1998); 299–303 Український математичний журнал; Том 50 № 2 (1998); 299–303 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4963/6625 https://umj.imath.kiev.ua/index.php/umj/article/view/4963/6626 Copyright (c) 1998 Bigun Ya. I.
spellingShingle Bigun, Ya. I.
Бігун, Я. Й.
Averaging method in multifrequency systems with delay
title Averaging method in multifrequency systems with delay
title_alt Метод усереднення в багаточастотних системах з запізненням
title_full Averaging method in multifrequency systems with delay
title_fullStr Averaging method in multifrequency systems with delay
title_full_unstemmed Averaging method in multifrequency systems with delay
title_short Averaging method in multifrequency systems with delay
title_sort averaging method in multifrequency systems with delay
url https://umj.imath.kiev.ua/index.php/umj/article/view/4963
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