Some boundary-value problems for a class of fourth-order differential equations on a graph

We study the problem of nondegeneracy of some boundary-value problems for a class of fourth-order differential equations on a geometric graph (topological net), present conditions for the existence of the Green function for boundary-value problems under consideration, and analyze its principal prope...

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Date:1996
Main Authors: Mustafokulov, R., Мустафокулов, Р.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5312
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Mustafokulov, R.
Мустафокулов, Р.
Мустафокулов, Р.
author_facet Mustafokulov, R.
Мустафокулов, Р.
Мустафокулов, Р.
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author_sort Mustafokulov, R.
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datestamp_date 2020-03-18T21:30:10Z
description We study the problem of nondegeneracy of some boundary-value problems for a class of fourth-order differential equations on a geometric graph (topological net), present conditions for the existence of the Green function for boundary-value problems under consideration, and analyze its principal properties.
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spelling umjimathkievua-article-53122020-03-18T21:30:10Z Some boundary-value problems for a class of fourth-order differential equations on a graph О некоторых краевых задачах для одного класса дифференциальных уравнений четвертого порядка на графе Mustafokulov, R. Мустафокулов, Р. Мустафокулов, Р. We study the problem of nondegeneracy of some boundary-value problems for a class of fourth-order differential equations on a geometric graph (topological net), present conditions for the existence of the Green function for boundary-value problems under consideration, and analyze its principal properties. Досліджується питання про невиродженість деяких крайових задач для одного класу диференціальних рівнянь четвертого порядку на геометричному графі (топологічній сітці). Наводяться умови існування функції Гріна розглядуваних крайових задач, визначаються основні ЇЇ властивості. Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5312 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 476-482 Український математичний журнал; Том 48 № 4 (1996); 476-482 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5312/7316 https://umj.imath.kiev.ua/index.php/umj/article/view/5312/7317 Copyright (c) 1996 Mustafokulov R.
spellingShingle Mustafokulov, R.
Мустафокулов, Р.
Мустафокулов, Р.
Some boundary-value problems for a class of fourth-order differential equations on a graph
title Some boundary-value problems for a class of fourth-order differential equations on a graph
title_alt О некоторых краевых задачах для одного класса дифференциальных уравнений четвертого порядка на графе
title_full Some boundary-value problems for a class of fourth-order differential equations on a graph
title_fullStr Some boundary-value problems for a class of fourth-order differential equations on a graph
title_full_unstemmed Some boundary-value problems for a class of fourth-order differential equations on a graph
title_short Some boundary-value problems for a class of fourth-order differential equations on a graph
title_sort some boundary-value problems for a class of fourth-order differential equations on a graph
url https://umj.imath.kiev.ua/index.php/umj/article/view/5312
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