Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative

We consider a differential equation of then th order unsolved with respect to the derivative. Under certain assumptions, we investigate the existence and asymptotic behavior of solutions of this equation.

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Date:1994
Main Authors: Prosenyuk, L. G., Просенюк, Л. Г.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5746
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Prosenyuk, L. G.
Просенюк, Л. Г.
Просенюк, Л. Г.
author_facet Prosenyuk, L. G.
Просенюк, Л. Г.
Просенюк, Л. Г.
author_sort Prosenyuk, L. G.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-19T09:16:47Z
description We consider a differential equation of then th order unsolved with respect to the derivative. Under certain assumptions, we investigate the existence and asymptotic behavior of solutions of this equation.
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spelling umjimathkievua-article-57462020-03-19T09:16:47Z Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative О существовании и асимптотическом поведении решений дифференциального уравнения $n$-го порядка, частично разрешенного относительно производной Prosenyuk, L. G. Просенюк, Л. Г. Просенюк, Л. Г. We consider a differential equation of then th order unsolved with respect to the derivative. Under certain assumptions, we investigate the existence and asymptotic behavior of solutions of this equation. Розглядається одне диференціальне рівняння $n$-го порядку, нерозв’язне відносно похідної. При деяких умовах вивчається питання існування та асимптотичної поведінки розв’язків рівняння з особливими початковими даними. Institute of Mathematics, NAS of Ukraine 1994-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5746 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 4 (1994); 450–453 Український математичний журнал; Том 46 № 4 (1994); 450–453 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5746/8177 https://umj.imath.kiev.ua/index.php/umj/article/view/5746/8178 Copyright (c) 1994 Prosenyuk L. G.
spellingShingle Prosenyuk, L. G.
Просенюк, Л. Г.
Просенюк, Л. Г.
Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title_alt О существовании и асимптотическом поведении решений дифференциального уравнения $n$-го порядка, частично разрешенного относительно производной
title_full Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title_fullStr Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title_full_unstemmed Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title_short Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
title_sort existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
url https://umj.imath.kiev.ua/index.php/umj/article/view/5746
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AT prosenûklg existenceandasymptoticbehaviorofsolutionsofannthorderdifferentialequationpartiallysolvedwithrespecttoderivative
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