A partly sharp oscillation criterion for first-order delay differential equations

Ziwei Zhuang, Qiru Wang and Hongwu Wu

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: In this paper, a partly sharp oscillation criterion is established for the first-order delay differential equationx′(t)+p(t)x(τ(t))=0,t≥T0,where p(t) is continuous and p(t)≥0 for all t≥T0;τ(t) is continuous, non-decreasing, τ(t)2α+2λ1−1under no additional constraints, where λ1 is the smaller root of the equation λ=eαλ. This result is proved to be weaker than previous ones, and sharp when α∈(0,ln22) by constructing a specific example.

Keywords: First-order delay differential equations; Partly sharp oscillation; Discretization; Iteration (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005117

DOI: 10.1016/j.amc.2021.126422

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