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Research Article | Open Access

On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients

Emad R. Attia1,2( ), George E. Chatzarakis3
Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, Greece
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Abstract

In this work, we study the oscillation problem of first-order differential equations with deviating arguments and oscillatory coefficients. We generalize and improve the work of Kwong [30] such that the delay (advanced) and the coefficient functions do not need to be monotone and nonnegative, respectively. This method essentially improves many known oscillation conditions. The significance and the substantial improvement of our results are shown by two illustrative examples.

Keywords

oscillationdifferential equationsnonmonotone delaysoscillatory coefficients
CLC number: 34K11, 34K06

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6725-6736
DOI: 10.3934/math.2023341

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Cite this article:
Attia ER, Chatzarakis GE. On the oscillation of first-order differential equations with deviating arguments and oscillatory coefficients. AIMS Mathematics, 2023, 8(3): 6725-6736. https://doi.org/10.3934/math.2023341

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Received: 26 October 2022
Revised: 08 December 2022
Accepted: 29 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)