Julio G. Dix
This article concerns the oscillation of solutions to the delay differential equation . Conditions for oscillation have been stated as lower bounds for the limit superior and limit inferior of . 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.
Submitted January 29, 2021. Published April 24, 2021.
Math Subject Classifications: 34K11, 34C10.
Key Words: Oscillation of solutions; first-order delay differential equation; eventually positive solution.
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| Julio G. Dix |
Department of Mathematics
Texas State University
601 University Drive
San Marcos, TX 78666, USA
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