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

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 c...

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Bibliographic Details
Published in:Applied mathematics and computation 2015-05, Vol.259, p.777-789
Main Authors: Baker, Faroq A., El-Morshedy, Hassan A.
Format: Article
Language:English
Subjects:
Distribution of zeros
Neutral differential equations
Oscillation
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.03.004