Quasilinear periodic boundary-value problem

We study a periodie boundary-value problem for the quasilinear equation u tt − u xx = F[u, u t , u x ]. We find conditions under which a theorem on the uniqueness of a solution is true.

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Date:1997
Main Authors: Botyuk, A. O., Ботюк, А. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5174
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Botyuk, A. O.
Ботюк, А. О.
author_facet Botyuk, A. O.
Ботюк, А. О.
author_sort Botyuk, A. O.
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datestamp_date 2020-03-18T21:26:15Z
description We study a periodie boundary-value problem for the quasilinear equation u tt − u xx = F[u, u t , u x ]. We find conditions under which a theorem on the uniqueness of a solution is true.
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spelling umjimathkievua-article-51742020-03-18T21:26:15Z Quasilinear periodic boundary-value problem Квазілінійна крайова періодична задача Botyuk, A. O. Ботюк, А. О. We study a periodie boundary-value problem for the quasilinear equation u tt − u xx = F[u, u t , u x ]. We find conditions under which a theorem on the uniqueness of a solution is true. Вивчається крайова періодична задача для квазіліпійного рівняння u tt − u xx = F[u, u t , u x ]. Знаходяться умови, за яких справедлива теорема єдипості розв'язку. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5174 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1690–1693 Український математичний журнал; Том 49 № 12 (1997); 1690–1693 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5174/7044 https://umj.imath.kiev.ua/index.php/umj/article/view/5174/7045 Copyright (c) 1997 Botyuk A. O.
spellingShingle Botyuk, A. O.
Ботюк, А. О.
Quasilinear periodic boundary-value problem
title Quasilinear periodic boundary-value problem
title_alt Квазілінійна крайова періодична задача
title_full Quasilinear periodic boundary-value problem
title_fullStr Quasilinear periodic boundary-value problem
title_full_unstemmed Quasilinear periodic boundary-value problem
title_short Quasilinear periodic boundary-value problem
title_sort quasilinear periodic boundary-value problem
url https://umj.imath.kiev.ua/index.php/umj/article/view/5174
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