On the Sign of Solutions of Systems of Ordinary Differential Equations

We show that Theorems 1 and 3 in A. G. Gritsai's paper “Monotonicity properties of solutions of systems of nonlinear differential equations” published in the collection of works Approximate and Qualitative Methods in the Theory of Differential and Functional Differential-Equations (Institut...

Full description

Saved in:
Bibliographic Details
Date:2002
Main Authors: Kalinowski, J., Каліновський, Й.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4166
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860510299793129472
author Kalinowski, J.
Каліновський, Й.
author_facet Kalinowski, J.
Каліновський, Й.
author_sort Kalinowski, J.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T20:23:25Z
description We show that Theorems 1 and 3 in A. G. Gritsai's paper “Monotonicity properties of solutions of systems of nonlinear differential equations” published in the collection of works Approximate and Qualitative Methods in the Theory of Differential and Functional Differential-Equations (Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, 1979) are not true in the formulation presented.
first_indexed 2026-03-24T02:54:48Z
format Article
fulltext 0130 0131
id umjimathkievua-article-4166
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language English
last_indexed 2026-03-24T02:54:48Z
publishDate 2002
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/28/0f21a3f2b526cdab0540519661dba028.pdf
spelling umjimathkievua-article-41662020-03-18T20:23:25Z On the Sign of Solutions of Systems of Ordinary Differential Equations Про знак розв'язків систем звичайних диференціальних рівнянь Kalinowski, J. Каліновський, Й. We show that Theorems 1 and 3 in A. G. Gritsai's paper “Monotonicity properties of solutions of systems of nonlinear differential equations” published in the collection of works Approximate and Qualitative Methods in the Theory of Differential and Functional Differential-Equations (Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, 1979) are not true in the formulation presented. Показано, що теореми 1 і 3 роботи А. Г. Грицай „О свойствах монотонности решений систем нелинейных дифференциальных уравнений", опублікованої у збірнику праць Інституту математики АН України „Приближенные и качественные методы теории дифференциальных и дифференциально-функциональных уравнений" (1979 р.), у наведеному вигляді неправильні. Institute of Mathematics, NAS of Ukraine 2002-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4166 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 9 (2002); 1282-1283 Український математичний журнал; Том 54 № 9 (2002); 1282-1283 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4166/5041 https://umj.imath.kiev.ua/index.php/umj/article/view/4166/5042 Copyright (c) 2002 Kalinowski J.
spellingShingle Kalinowski, J.
Каліновський, Й.
On the Sign of Solutions of Systems of Ordinary Differential Equations
title On the Sign of Solutions of Systems of Ordinary Differential Equations
title_alt Про знак розв'язків систем звичайних диференціальних рівнянь
title_full On the Sign of Solutions of Systems of Ordinary Differential Equations
title_fullStr On the Sign of Solutions of Systems of Ordinary Differential Equations
title_full_unstemmed On the Sign of Solutions of Systems of Ordinary Differential Equations
title_short On the Sign of Solutions of Systems of Ordinary Differential Equations
title_sort on the sign of solutions of systems of ordinary differential equations
url https://umj.imath.kiev.ua/index.php/umj/article/view/4166
work_keys_str_mv AT kalinowskij onthesignofsolutionsofsystemsofordinarydifferentialequations
AT kalínovsʹkijj onthesignofsolutionsofsystemsofordinarydifferentialequations
AT kalinowskij proznakrozv039âzkívsistemzvičajnihdiferencíalʹnihrívnânʹ
AT kalínovsʹkijj proznakrozv039âzkívsistemzvičajnihdiferencíalʹnihrívnânʹ