New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays

Author:

Attia Emad R.,El-Matary Bassant M.

Abstract

AbstractThe distance between consecutive zeros of a first-order differential equation with several variable delays is studied. Here, we show that the distribution of zeros of differential equations with variable delays is not an easy extension of the case of constant delays. We obtain new upper bounds for the distance between zeros of all solutions of a differential equation with several delays, which extend and improve some existing results. Two illustrative examples are given to show the advantages of the proposed results over the known ones.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference27 articles.

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4. Baker, F.A., El-Morshedy, H.A.: The distribution of zeros of all solutions of first order neutral differential equations. Appl. Math. Comput. 259, 777–789 (2015)

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