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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Інститут математики НАН України
1998
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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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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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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. |
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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 |
_version_ |
1837718914166947840 |
fulltext |
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