The distribution of zeros of all solutions of first order neutral differential equations

Faroq A. Baker and Hassan A. El-Morshedy

Applied Mathematics and Computation, 2015, vol. 259, issue C, 777-789

Abstract: This paper is concerned with the distribution of zeros of all solutions of the first-order neutral differential equationx(t)+p(t)x(t-τ)′+Q(t)x(t-σ)=0,t⩾t0,wherep∈C[t0,∞),[0,∞),Q∈C[t0,∞),(0,∞)andτ,σ∈R+.New estimations for the distance between adjacent zeros of this neutral equation are obtained via comparison with a corresponding differential inequality. These results extend some known results from the non-neutral to the neutral case and improve other published results as well.

Keywords: Distribution of zeros; Oscillation; Neutral differential equations (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:777-789

DOI: 10.1016/j.amc.2015.03.004

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