Power comparison theorems in half-linear oscillation theory

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.

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	http://dx.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