On non-oscillation for two dimensional systems of non-linear ordinary differential equations

The paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u′=g(t)|v|1αsgnv,v′=−p(t)|u|αsgnu,g:[0,+∞[→[0,+∞[p:[0,+∞[→ℝα>0∫+∞g(s)ds<+∞

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Main Author: Zdeněk Opluštil
Format: Article
Language:English
Published: Miskolc University Press 2024-01-01
Series:Miskolc Mathematical Notes
Online Access:http://mat76.mat.uni-miskolc.hu/mnotes/article/4420
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author Zdeněk Opluštil
author_facet Zdeněk Opluštil
author_sort Zdeněk Opluštil
collection DOAJ
description The paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u′=g(t)|v|1αsgnv,v′=−p(t)|u|αsgnu,g:[0,+∞[→[0,+∞[p:[0,+∞[→ℝα>0∫+∞g(s)ds<+∞
format Article
id doaj-art-57634faec57d4804a877ffe921f3ac0e
institution Kabale University
issn 1787-2405
1787-2413
language English
publishDate 2024-01-01
publisher Miskolc University Press
record_format Article
series Miskolc Mathematical Notes
spelling doaj-art-57634faec57d4804a877ffe921f3ac0e2025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125297110.18514/MMN.2024.4420On non-oscillation for two dimensional systems of non-linear ordinary differential equationsZdeněk OpluštilThe paper studies the non-oscillatory properties of two-dimensional systems of non-linear differential equations u′=g(t)|v|1αsgnv,v′=−p(t)|u|αsgnu,g:[0,+∞[→[0,+∞[p:[0,+∞[→ℝα>0∫+∞g(s)ds<+∞http://mat76.mat.uni-miskolc.hu/mnotes/article/4420
spellingShingle Zdeněk Opluštil
On non-oscillation for two dimensional systems of non-linear ordinary differential equations
Miskolc Mathematical Notes
title On non-oscillation for two dimensional systems of non-linear ordinary differential equations
title_full On non-oscillation for two dimensional systems of non-linear ordinary differential equations
title_fullStr On non-oscillation for two dimensional systems of non-linear ordinary differential equations
title_full_unstemmed On non-oscillation for two dimensional systems of non-linear ordinary differential equations
title_short On non-oscillation for two dimensional systems of non-linear ordinary differential equations
title_sort on non oscillation for two dimensional systems of non linear ordinary differential equations
url http://mat76.mat.uni-miskolc.hu/mnotes/article/4420
work_keys_str_mv AT zdenekoplustil onnonoscillationfortwodimensionalsystemsofnonlinearordinarydifferentialequations