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

Emad Attia () and Bassant El-Matary
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Emad Attia: Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Bassant El-Matary: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Mathematics, 2022, vol. 11, issue 1, 1-14

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.

Keywords: oscillation; differential equation; non-monotone delays (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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