Half-linear Euler differential equation and its perturbations
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove the extended version of a conjecture formulat...
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University of Szeged
2016-08-01
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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=4250 |
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doaj-65f252825db24bd5aea84e4558f5319c2021-07-14T07:21:29ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-08-0120161011410.14232/ejqtde.2016.8.104250Half-linear Euler differential equation and its perturbationsOndrej Dosly0Masaryk University, Brno, Czech RepublicWe investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove the extended version of a conjecture formulated in [O. Došlý, J. Math. Anal. Appl. 323(2006), 426–440].http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4250euler half-linear differential equationriemann-weber differential equationriccati techniquemodified riccati equationconditional oscillation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ondrej Dosly |
| spellingShingle |
Ondrej Dosly Half-linear Euler differential equation and its perturbations Electronic Journal of Qualitative Theory of Differential Equations euler half-linear differential equation riemann-weber differential equation riccati technique modified riccati equation conditional oscillation |
| author_facet |
Ondrej Dosly |
| author_sort |
Ondrej Dosly |
| title |
Half-linear Euler differential equation and its perturbations |
| title_short |
Half-linear Euler differential equation and its perturbations |
| title_full |
Half-linear Euler differential equation and its perturbations |
| title_fullStr |
Half-linear Euler differential equation and its perturbations |
| title_full_unstemmed |
Half-linear Euler differential equation and its perturbations |
| title_sort |
half-linear euler differential equation and its perturbations |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2016-08-01 |
| description |
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove the extended version of a conjecture formulated in [O. Došlý, J. Math. Anal. Appl. 323(2006), 426–440]. |
| topic |
euler half-linear differential equation riemann-weber differential equation riccati technique modified riccati equation conditional oscillation |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4250 |
| work_keys_str_mv |
AT ondrejdosly halflineareulerdifferentialequationanditsperturbations |
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1721303602112233472 |