Invariant tori of differential equations in a Banach space

We establish conditions for the existence, uniqueness, and smoothness of the toroidal manifolds of differential equations with unbounded operator coefficients.

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Date:1998
Main Authors: Ilolov, M., Samoilenko, A. M., Илолов, М., Самойленко, А. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4968
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Ilolov, M.
Samoilenko, A. M.
Илолов, М.
Самойленко, А. М.
Илолов, М.
Самойленко, А. М.
author_facet Ilolov, M.
Samoilenko, A. M.
Илолов, М.
Самойленко, А. М.
Илолов, М.
Самойленко, А. М.
author_sort Ilolov, M.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T21:21:24Z
description We establish conditions for the existence, uniqueness, and smoothness of the toroidal manifolds of differential equations with unbounded operator coefficients.
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spelling umjimathkievua-article-49682020-03-18T21:21:24Z Invariant tori of differential equations in a Banach space Инвариантные горы дифференциальных уравнений в банаховом пространстве Ilolov, M. Samoilenko, A. M. Илолов, М. Самойленко, А. М. Илолов, М. Самойленко, А. М. We establish conditions for the existence, uniqueness, and smoothness of the toroidal manifolds of differential equations with unbounded operator coefficients. Одержано умови існування, єдиності та гладкості тороїдальних многовидів диференціальних рівнянь з необмеженими операторпими коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1998-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4968 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 1 (1998); 13–21 Український математичний журнал; Том 50 № 1 (1998); 13–21 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4968/6635 https://umj.imath.kiev.ua/index.php/umj/article/view/4968/6636 Copyright (c) 1998 Ilolov M.; Samoilenko A. M.
spellingShingle Ilolov, M.
Samoilenko, A. M.
Илолов, М.
Самойленко, А. М.
Илолов, М.
Самойленко, А. М.
Invariant tori of differential equations in a Banach space
title Invariant tori of differential equations in a Banach space
title_alt Инвариантные горы дифференциальных уравнений в банаховом пространстве
title_full Invariant tori of differential equations in a Banach space
title_fullStr Invariant tori of differential equations in a Banach space
title_full_unstemmed Invariant tori of differential equations in a Banach space
title_short Invariant tori of differential equations in a Banach space
title_sort invariant tori of differential equations in a banach space
url https://umj.imath.kiev.ua/index.php/umj/article/view/4968
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