Chuanxi, Q.; Ladas, G. Linearized oscillations for equations with positive and negative coefficients. (English) Zbl 0715.34125 Hiroshima Math. J. 20, No. 2, 331-340 (1990). Our aim is to present a linearized oscillation result for the neutral differential equation with positive and negative coefficients \[ \frac{d}{dt}[x(t)-P(t)G(x(t-\tau))]+Q_ 1(t)H_ 1(x(t-\sigma_ 1))- Q_ 2(t)H_ 2(x(t-\sigma_ 2))=0. \] Roughly speaking, we prove that under appropriate hypotheses, this nonlinear differential equation has the same oscillatory behavior as an associated linear equation with constant coefficients. Reviewer: G.Ladas Cited in 11 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:linearized oscillation; neutral differential equation PDFBibTeX XMLCite \textit{Q. Chuanxi} and \textit{G. Ladas}, Hiroshima Math. J. 20, No. 2, 331--340 (1990; Zbl 0715.34125)