Dix, Julio G.2021-08-232021-08-232021-04-24Dix, J. G. (2021). Improved oscillation criteria for first-order delay differential equations with variable delay. <i>Electronic Journal of Differential Equations, 2021</i>(32), pp. 1-12.1072-6691https://hdl.handle.net/10877/14429This article concerns the oscillation of solutions to the delay differential equation x′(t) + p(t)x(τ(t)) = 0. Conditions for oscillation have been stated as lower bounds for the limit superior and limit inferior of ∫tτp. In this article we match the bound for the best case in [7], without using one of their hypotheses. Then assuming that hypothesis, we obtain a bound lower than the one in [12]. Then we apply our results to an equation with several delays. We employ iterated estimates of the solution.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalOscillation of solutionsFirst-order delay differential equationEventually positive solutionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.