Oscillation criteria for perturbed half-linear differential equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved oscillation criteria for a perturbed half-lin...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10920 |
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| _version_ | 1841533478591528960 |
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| author | Manabu Naito |
| author_facet | Manabu Naito |
| author_sort | Manabu Naito |
| collection | DOAJ |
| description | Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved oscillation criteria for a perturbed half-linear Riemann–Weber differential equation can be obtained. |
| format | Article |
| id | doaj-art-45e76982bcc6422e97d7ada0452a314c |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-45e76982bcc6422e97d7ada0452a314c2025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-07-0120243811810.14232/ejqtde.2024.1.3810920Oscillation criteria for perturbed half-linear differential equationsManabu Naito0Ehime University, Matsuyama, Japan Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved oscillation criteria for a perturbed half-linear Riemann–Weber differential equation can be obtained.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10920half-linear differential equationoscillation criteriariemann–weber differential equationprincipal solution |
| spellingShingle | Manabu Naito Oscillation criteria for perturbed half-linear differential equations Electronic Journal of Qualitative Theory of Differential Equations half-linear differential equation oscillation criteria riemann–weber differential equation principal solution |
| title | Oscillation criteria for perturbed half-linear differential equations |
| title_full | Oscillation criteria for perturbed half-linear differential equations |
| title_fullStr | Oscillation criteria for perturbed half-linear differential equations |
| title_full_unstemmed | Oscillation criteria for perturbed half-linear differential equations |
| title_short | Oscillation criteria for perturbed half-linear differential equations |
| title_sort | oscillation criteria for perturbed half linear differential equations |
| topic | half-linear differential equation oscillation criteria riemann–weber differential equation principal solution |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10920 |
| work_keys_str_mv | AT manabunaito oscillationcriteriaforperturbedhalflineardifferentialequations |