Periodic solutions of impulsive systems with a small delay in the critical case of second order

We consider an impulsive differential-difference system such that the corresponding system without delay is linear and has an r-parametric family of w-periodic solutions. For this case, an equation for the generating amplitudes is derived, and sufficient conditions are obtained for the existence of...

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Date:1998
Main Authors: Boichuk, A.A., Covachev, V.
Format: Article
Language:English
Published: Інститут математики НАН України 1998
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/175812
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Periodic solutions of impulsive systems with a small delay in the critical case of second order / A.A. Boichuk, V. Covachev // Нелінійні коливання. — 1998. — Т. 1, № 1. — С. 6-19. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1758122021-02-03T01:26:27Z Periodic solutions of impulsive systems with a small delay in the critical case of second order Boichuk, A.A. Covachev, V. We consider an impulsive differential-difference system such that the corresponding system without delay is linear and has an r-parametric family of w-periodic solutions. For this case, an equation for the generating amplitudes is derived, and sufficient conditions are obtained for the existence of wperiodic solutions of the initial system in the critical case of the second order if the delay is sufficiently small. Розглядається нелінійна періодична імпульсна диференціальна система із запізненням у припущенні, що відповідна система без запізнення є лінійною і має r -параметричну сім’ю періодичних розв’язків. Побудовано рівняння для породжуючих амплітуд такої задачі, що дає необхідну умову існування розв’язків. Одержані достатні умови існування періодичних розв’язків вихідної нелінійної системи у критичному випадку другого порядку при досить малому аргументу, що запізнюється. 1998 Article Periodic solutions of impulsive systems with a small delay in the critical case of second order / A.A. Boichuk, V. Covachev // Нелінійні коливання. — 1998. — Т. 1, № 1. — С. 6-19. — Бібліогр.: 10 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/175812 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 We consider an impulsive differential-difference system such that the corresponding system without delay is linear and has an r-parametric family of w-periodic solutions. For this case, an equation for the generating amplitudes is derived, and sufficient conditions are obtained for the existence of wperiodic solutions of the initial system in the critical case of the second order if the delay is sufficiently small.
format Article
author Boichuk, A.A.
Covachev, V.
spellingShingle Boichuk, A.A.
Covachev, V.
Periodic solutions of impulsive systems with a small delay in the critical case of second order
Нелінійні коливання
author_facet Boichuk, A.A.
Covachev, V.
author_sort Boichuk, A.A.
title Periodic solutions of impulsive systems with a small delay in the critical case of second order
title_short Periodic solutions of impulsive systems with a small delay in the critical case of second order
title_full Periodic solutions of impulsive systems with a small delay in the critical case of second order
title_fullStr Periodic solutions of impulsive systems with a small delay in the critical case of second order
title_full_unstemmed Periodic solutions of impulsive systems with a small delay in the critical case of second order
title_sort periodic solutions of impulsive systems with a small delay in the critical case of second order
publisher Інститут математики НАН України
publishDate 1998
url http://dspace.nbuv.gov.ua/handle/123456789/175812
citation_txt Periodic solutions of impulsive systems with a small delay in the critical case of second order / A.A. Boichuk, V. Covachev // Нелінійні коливання. — 1998. — Т. 1, № 1. — С. 6-19. — Бібліогр.: 10 назв. — англ.
series Нелінійні коливання
work_keys_str_mv AT boichukaa periodicsolutionsofimpulsivesystemswithasmalldelayinthecriticalcaseofsecondorder
AT covachevv periodicsolutionsofimpulsivesystemswithasmalldelayinthecriticalcaseofsecondorder
first_indexed 2025-07-15T13:15:28Z
last_indexed 2025-07-15T13:15:28Z
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