Improved oscillation criteria for first-order delay differential equations with variable delay
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Date
2021-04-24
Authors
Dix, Julio G.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 [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.
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Keywords
Oscillation of solutions, First-order delay differential equation, Eventually positive solution
Citation
Dix, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.