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On a method for construction of successive approximations for investigation of multipoint boundary-value problems

We suggest a new scheme of successive approximations. This scheme allows one to study the problem of existence and approximate construction of solutions of nonlinear ordinary differential equations with multipoint linear boundary conditions. This method enables one to study problems both with singul...

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Datum:1995
Hauptverfasser: Perestyuk, N. A., Ronto, A. M., Перестюк, Н. А., Ронто, А. Н.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5524
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Perestyuk, N. A.
Ronto, A. M.
Перестюк, Н. А.
Ронто, А. Н.
Перестюк, Н. А.
Ронто, А. Н.
author_facet Perestyuk, N. A.
Ronto, A. M.
Перестюк, Н. А.
Ронто, А. Н.
Перестюк, Н. А.
Ронто, А. Н.
author_sort Perestyuk, N. A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T09:12:37Z
description We suggest a new scheme of successive approximations. This scheme allows one to study the problem of existence and approximate construction of solutions of nonlinear ordinary differential equations with multipoint linear boundary conditions. This method enables one to study problems both with singular and nonsingular matrices in boundary conditions.
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spelling umjimathkievua-article-55242020-03-19T09:12:37Z On a method for construction of successive approximations for investigation of multipoint boundary-value problems Об одном методе построения последовательных приближений для исследования многоточечных краевых задач Perestyuk, N. A. Ronto, A. M. Перестюк, Н. А. Ронто, А. Н. Перестюк, Н. А. Ронто, А. Н. We suggest a new scheme of successive approximations. This scheme allows one to study the problem of existence and approximate construction of solutions of nonlinear ordinary differential equations with multipoint linear boundary conditions. This method enables one to study problems both with singular and nonsingular matrices in boundary conditions. Запропоновано нову схему послідовних наближень, яка дозволяє досліджувати існування та наближено будувати розв'язки нелінійних звичайних диференціальних рівнянь, що розглядаються разом із лінійними багатоточковими обмеженнями. Викладений метод робить можливим вивчення задач як з невиродженими, так і з виродженими матрицями за крайових умов. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5524 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1243–1253 Український математичний журнал; Том 47 № 9 (1995); 1243–1253 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5524/7736 https://umj.imath.kiev.ua/index.php/umj/article/view/5524/7737 Copyright (c) 1995 Perestyuk N. A.; Ronto A. M.
spellingShingle Perestyuk, N. A.
Ronto, A. M.
Перестюк, Н. А.
Ронто, А. Н.
Перестюк, Н. А.
Ронто, А. Н.
On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title_alt Об одном методе построения последовательных приближений для исследования многоточечных краевых задач
title_full On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title_fullStr On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title_full_unstemmed On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title_short On a method for construction of successive approximations for investigation of multipoint boundary-value problems
title_sort on a method for construction of successive approximations for investigation of multipoint boundary-value problems
url https://umj.imath.kiev.ua/index.php/umj/article/view/5524
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