Improved oscillation criteria for first-order delay differential equations with variable delay
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This 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 , without using one of their hypotheses. Then assuming that hypothesis, we obtain a bound lower than the one in . Then we apply our results to an equation with several delays. We employ iterated estimates of the solution.
CitationDix, J. G. (2021). Improved oscillation criteria for first-order delay differential equations with variable delay. Electronic Journal of Differential Equations, 2021(32), pp. 1-12.
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