Power comparison theorems in half-linear oscillation theory

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Authors	DOŠLÝ Ondřej FIŠNAROVÁ Simona MAŘÍK Robert
Year of publication	2013
Type	Article in Periodical
Magazine / Source	J. Math. Anal. Appl.
MU Faculty or unit	Faculty of Science
Citation
web	http://www.sciencedirect.com/science/article/pii/S0022247X12010049
Doi	https://doi.org/10.1016/j.jmaa.2012.12.029
Field	General mathematics
Keywords	Half-linear differential equation; oscillation and nonoscillation criteria; Riccati technique; conditional oscillation
Attached files	Dosly_JMAA2013.pdf
Description	We compare oscillatory behavior of two half-linear differential equations with different powers by the homogeneous functions appearing in these equations. Our results generalize and extend several previously proved power comparison theorems.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace