Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation

Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation

Variation formulas for solution are proved for a nonlinear differential equation with constant delays. In this work, the essential novelty is an effect of delay perturbation in the variation formulas. The mixed initial condition means that at the initial moment, some coordinates of the trajectory do...

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Видавець:Інститут математики НАН України
Дата:2014
Автор: Tadumadze, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2014
Назва видання:Нелінійні коливання
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/177105
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Цитувати:Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation / T. Tadumadze // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 503-532 — Бібліогр.: 9 назв. — англ.

Репозиторії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-177105
record_format dspace
spelling irk-123456789-1771052021-02-11T01:28:22Z Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation Tadumadze, T. Variation formulas for solution are proved for a nonlinear differential equation with constant delays. In this work, the essential novelty is an effect of delay perturbation in the variation formulas. The mixed initial condition means that at the initial moment, some coordinates of the trajectory do not coincide with the corresponding coordinates of the initial function, whereas the others coincide.Variation formulas are used in the proof of necessary optimality conditions. Доведено варiацiйнi формули для нелiнiйних диференцiальних рiвнянь зi сталими запiзненнями. Суттєвою новизною є ефект збурення в запiзненнi у варiацiйних формулах. Мiшана початкова умова означає, що в початковий момент однi координати траєкторiї не збiгаються, а iншi збiгаються з вiдповiдними координатами початкової функцiї. Варiацiйнi формули використовуються в доведеннi необхiдних оптимальних умов. 2014 Article Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation / T. Tadumadze // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 503-532 — Бібліогр.: 9 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177105 517.929 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 Variation formulas for solution are proved for a nonlinear differential equation with constant delays. In this work, the essential novelty is an effect of delay perturbation in the variation formulas. The mixed initial condition means that at the initial moment, some coordinates of the trajectory do not coincide with the corresponding coordinates of the initial function, whereas the others coincide.Variation formulas are used in the proof of necessary optimality conditions.
format Article
author Tadumadze, T.
spellingShingle Tadumadze, T.
Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
Нелінійні коливання
author_facet Tadumadze, T.
author_sort Tadumadze, T.
title Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
title_short Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
title_full Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
title_fullStr Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
title_full_unstemmed Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
title_sort variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
publisher Інститут математики НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/177105
citation_txt Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation / T. Tadumadze // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 503-532 — Бібліогр.: 9 назв. — англ.
series Нелінійні коливання
work_keys_str_mv AT tadumadzet variationformulasforsolutionofdelaydifferentialequationstakingintoaccountmixedinitialconditionanddelayperturbation
first_indexed 2023-10-18T22:42:47Z
last_indexed 2023-10-18T22:42:47Z
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