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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Format: | Article |
Language: | English |
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Miskolc University Press
2024-01-01
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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 |