On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations
We establish some optimal, in a sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second order functional differential equations. The class of equations considered covers, in particular, neutral type equations. Concrete example is...
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Дата: | 2016 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут математики НАН України
2016
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Назва видання: | Нелінійні коливання |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177247 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations / N.Z. Dilna // Нелінійні коливання. — 2016. — Т. 19, № 2. — С. 203-216 — Бібліогр.: 23 назв. — англ. |
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irk-123456789-1772472021-02-14T01:26:15Z On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations Dilna, N.Z. We establish some optimal, in a sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second order functional differential equations. The class of equations considered covers, in particular, neutral type equations. Concrete example is presented to illustrate the general theory. Встановлено новi, в певному сенсi, оптимальнi умови, достатнi для однозначної розв’язностi крайової задачi для систем нелiнiйних функцiонально-диференцiальних рiвнянь другого порядку. Клас рiвнянь, що дослiджувалися, може частково мiстити в собi рiвняння нейтрального типу. Наведено приклад, що демонструє отриманi результати. 2016 Article On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations / N.Z. Dilna // Нелінійні коливання. — 2016. — Т. 19, № 2. — С. 203-216 — Бібліогр.: 23 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177247 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 establish some optimal, in a sense, general conditions sufficient for the unique solvability of the boundary-value problem for a system of nonlinear second order functional differential equations. The class of equations considered covers, in particular, neutral type equations. Concrete example is presented to illustrate the general theory. |
format |
Article |
author |
Dilna, N.Z. |
spellingShingle |
Dilna, N.Z. On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations Нелінійні коливання |
author_facet |
Dilna, N.Z. |
author_sort |
Dilna, N.Z. |
title |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
title_short |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
title_full |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
title_fullStr |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
title_full_unstemmed |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
title_sort |
on the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations |
publisher |
Інститут математики НАН України |
publishDate |
2016 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/177247 |
citation_txt |
On the unique solvability of a nonlinear nonlocal boundary-value problem for systems of second order functional differential equations / N.Z. Dilna // Нелінійні коливання. — 2016. — Т. 19, № 2. — С. 203-216 — Бібліогр.: 23 назв. — англ. |
series |
Нелінійні коливання |
work_keys_str_mv |
AT dilnanz ontheuniquesolvabilityofanonlinearnonlocalboundaryvalueproblemforsystemsofsecondorderfunctionaldifferentialequations |
first_indexed |
2023-10-18T22:43:08Z |
last_indexed |
2023-10-18T22:43:08Z |
_version_ |
1796156252059860992 |