Özbekler, AbdullahDosly, O.Ozbekler, A.Simon Hilscher, R.Mathematics2024-07-052024-07-052012100022-247X1096-081310.1016/j.jmaa.2012.03.0202-s2.0-84860920980https://doi.org/10.1016/j.jmaa.2012.03.020https://hdl.handle.net/20.500.14411/326Hilscher, Roman Simon/0000-0001-5844-4526; Ozbekler, Abdullah/0000-0001-5196-4078In 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. (C) 2012 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessOscillationHalf-linear equationPeriodic coefficientsModified Riccati equationHill's equationArticleQ2Q23932360366WOS:000304722100004