Elbert, Á.; Stavroulakis, I. P. Oscillations of first order differential equations with deviating arguments. (English) Zbl 0832.34064 Agarwal, R. P. (ed.), Recent trends in differential equations. Singapore: World Scientific Publishing. World Sci. Ser. Appl. Anal. 1, 163-178 (1992). Summary: New oscillation criteria for the first-order differential equation \(x'(t)+ p(t) x(\tau(t))= 0\) are established. An extension of the results to inequalities and applications to neutral differential equations are also presented. Examples illustrating the significance of the results are given.For the entire collection see [Zbl 0824.00015]. Cited in 24 Documents MSC: 34K11 Oscillation theory of functional-differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34K40 Neutral functional-differential equations 34A40 Differential inequalities involving functions of a single real variable Keywords:oscillation criteria; first-order differential equation; inequalities; neutral differential equations PDFBibTeX XMLCite \textit{Á. Elbert} and \textit{I. P. Stavroulakis}, World Sci. Ser. Appl. Anal. 1, 163--178 (1992; Zbl 0832.34064)