Yu, Jianshe; Wang, Zhicheng A linearized oscillation result for neutral delay differential equations. (English) Zbl 0805.34065 Math. Nachr. 163, 101-107 (1993). Summary: We consider the first order nonlinear neutral delay differential equation (1) \({d \over dt} (x(t) - P(t)g(x(t - \tau))) + Q(t)h(x(t - \sigma)) = 0\), and establish a linearized oscillation result of equation (1) when \(P(t) \geq 1\), which answers partially an open problem proposed by Györi and Ladas. Cited in 3 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34K40 Neutral functional-differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:first order nonlinear neutral delay differential equation; linearized oscillation result PDFBibTeX XMLCite \textit{J. Yu} and \textit{Z. Wang}, Math. Nachr. 163, 101--107 (1993; Zbl 0805.34065) Full Text: DOI References: [1] Chuanxi, Hiroshima Math. J. 20 pp 331– (1990) [2] Chuanxi, J. Math. Anal. Appl. 159 pp 237– (1991) [3] and , Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991 [4] Linearized Oscillations for Neutral Equations, Differential Equation, Proceedings of the 1987 Equadiff Conference, Dekker, New York, pp. 379–387 [5] Ladas, J. Differential Equations 88 pp 238– (1990) [6] Yu, PanAmerican Mathematical Journal This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.