New oscillation criteria for first-order differential equations with general delay argument

Authors

EMAD R. ATTIAFollow
IRENA JADLOVSKAFollow

Author ORCID Identifier

IRENA JADLOVSKA: 0000-0003-4649-5611

EMAD ATTIA: 0000-0002-7978-5386

DOI

10.55730/1300-0098.3537

Abstract

This paper is concerned with the oscillation of solutions to a class of first-order differential equations withvariable coefficients and a general delay argument. New oscillation criteria are established, which improve and extendmany known results reported in the literature. A couple of illustrative examples are given to show the efficiency of thenewly obtained results. In particular, it is shown that our criteria partially fulfill a remaining gap in a recent sharp resultby Pituk et al. [31].

Keywords

differential equation, first-order, general delay argument, Oscillation

First Page

734

Last Page

748

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ATTIA, EMAD R. and JADLOVSKA, IRENA (2024) "New oscillation criteria for first-order differential equations with general delay argument," Turkish Journal of Mathematics: Vol. 48: No. 4, Article 8. https://doi.org/10.55730/1300-0098.3537
Available at: https://journals.tubitak.gov.tr/math/vol48/iss4/8