Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case
The double singular perturbation for boundary-value problem for nonlinear system of ordinary differential equations is considered. For a formal asymptotic solution, constructed by the method of boundary functions and generalized inverse matrices and projectors, we prove an asymptotic property of th...
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Дата: | 2018 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2018
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Назва видання: | Нелінійні коливання |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177179 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case / L.I. Karandzhulov // Нелінійні коливання. — 2018. — Т. 21, № 1. — С. 36-53. — Бібліогр.: 14 назв. — англ. |
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irk-123456789-1771792021-02-12T01:26:23Z Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case Karandzhulov, L.I. The double singular perturbation for boundary-value problem for nonlinear system of ordinary differential equations is considered. For a formal asymptotic solution, constructed by the method of boundary functions and generalized inverse matrices and projectors, we prove an asymptotic property of the formal series. Розглянуто подвiйно сингулярне збурення граничної задачi для нелiнiйної системи звичайних диференцiальних рiвнянь. Для формального асимптотичного розв’язку, який побудовано за методом граничних функцiй та узагальнених обернених матриць i проекторiв, доведено асимптотичну властивiсть формального ряду. 2018 Article Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case / L.I. Karandzhulov // Нелінійні коливання. — 2018. — Т. 21, № 1. — С. 36-53. — Бібліогр.: 14 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177179 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 double singular perturbation for boundary-value problem for nonlinear system of ordinary differential equations is considered. For a formal asymptotic solution, constructed by the method of boundary
functions and generalized inverse matrices and projectors, we prove an asymptotic property of the formal
series. |
format |
Article |
author |
Karandzhulov, L.I. |
spellingShingle |
Karandzhulov, L.I. Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case Нелінійні коливання |
author_facet |
Karandzhulov, L.I. |
author_sort |
Karandzhulov, L.I. |
title |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
title_short |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
title_full |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
title_fullStr |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
title_full_unstemmed |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
title_sort |
asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case |
publisher |
Інститут математики НАН України |
publishDate |
2018 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/177179 |
citation_txt |
Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case / L.I. Karandzhulov // Нелінійні коливання. — 2018. — Т. 21, № 1. — С. 36-53. — Бібліогр.: 14 назв. — англ. |
series |
Нелінійні коливання |
work_keys_str_mv |
AT karandzhulovli asymptoticbehaviorofsolutionsfordifferentialequationswithdoublesingularityinconditionallystablecase |
first_indexed |
2023-10-18T22:42:56Z |
last_indexed |
2023-10-18T22:42:56Z |
_version_ |
1796156244429373440 |