Li, Tongxing; Rogovchenko, Yuri V.; Zhang, Chenghui Oscillation of second-order neutral differential equations. (English) Zbl 1276.34057 Funkc. Ekvacioj, Ser. Int. 56, No. 1, 111-120 (2013). The authors study the oscillation of a class of functional differential equations of the form \[ (r(t)[x(t)+p(t)x(\tau(t))]')'+q(t)x(\sigma(t))=0\tag{1} \] in the case \(\lim_{t\to\infty}R(t)<\infty\), where \(R(t)=\int_{t_0}^{t}r(s)^{-1}\,ds\). Via comparison principles, they derive sufficient conditions which ensure the oscillation of all solutions of equation (1). Two illustrative examples are provided. Reviewer: Jan Ohriska (Košice) Cited in 27 Documents MSC: 34K11 Oscillation theory of functional-differential equations Keywords:oscillation; neutral differential equations; delayed arguments; advanced arguments; positive solutions; comparison PDFBibTeX XMLCite \textit{T. Li} et al., Funkc. Ekvacioj, Ser. Int. 56, No. 1, 111--120 (2013; Zbl 1276.34057) Full Text: DOI