New Explicit Oscillation Criteria for First-Order Differential Equations with Several Non-Monotone Delays

Author:

Attia EmadORCID,El-Matary BassantORCID

Abstract

The oscillation of a first-order differential equation with several non-monotone delays is proposed. We extend the works of Kwong (1991) and Sficas and Stavroulakis (2003) for equations with several delays. Our results not only essentially improve but also generalize a large number of the existing ones. Using some numerical examples, we illustrate the applicability and effectiveness of our results over many known results in the literature.

Funder

Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference37 articles.

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2. Agarwal, R.P., Berezansky, L., Braverman, E., and Domoshnitsky, A. (2012). Non-Oscillation Theory of Functional Differential Equations with Applications, Springer.

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

4. An oscillation criterion for delay differential equations with several non-monotone arguments;Akca;Appl. Math. Lett.,2016

5. Oscillation of first order linear differential equations with several non-monotone delays;Attia;Open Math.,2018

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