Oscillation criterion for half-linear differential equations with periodic coefficients

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Authors	DOŠLÝ Ondřej ÖZBEKLER Abdullah ŠIMON HILSCHER Roman
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Journal of Mathematical Analysis and Applications
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1016/j.jmaa.2012.03.020
Field	General mathematics
Keywords	Oscillation; Half-linear equation; Periodic coefficients; Modified Riccati equation; Hill's Equation
Attached files	jmaa_hlperiod_online_copy.pdf
Description	In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace