Half-linear Euler differential equation and its perturbations

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Authors	DOŠLÝ Ondřej
Year of publication	2016
Type	Article in Periodical
Magazine / Source	ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
MU Faculty or unit	Faculty of Science
Citation
web	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=8&paramtipus_ertek=publication&param_ertek=4250
Doi	https://doi.org/10.14232/ejqtde.2016.8.10
Field	General mathematics
Keywords	Euler half-linear differential equation; Riemann-Weber differential equation; Riccati technique; modified Riccati equation; conditional oscillation
Attached files	p4250.pdf
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].
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace