New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays-Reference-Cited by-同舟云学术

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

Published:2023-08-16 Issue:1 Volume:2023 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

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

Link

https://link.springer.com/content/pdf/10.1186/s13660-023-03017-w.pdf

Reference27 articles.

1. Agarwal, R.P., Berezansky, L., Braverman, E., Domoshnitsky, A.: Non-oscillation Theory of Functional Differential Equations with Applications. Springer, New York (2012)

2. Agarwal, R.P., Grace, S.R., ÓRegan, D.: Oscillation Theory for Difference and Functional Differential Equations. Springer, Berlin (2013)

3. Attia, E.R., Chatzarakis, G.E.: Upper bounds for the distance between adjacent zeros of first-order linear differential equations with several delays. Mathematics 10, 648 (2022)

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)

5. Baker, F.A., El-Morshedy, H.A.: On the distribution of zeros of solutions of a first order neutral differential equation. Sci. J. Damietta Fac. Sci. 4, 1–9 (2015)