Opuscula Mathematica
Opuscula Math. 42, no. 3 (2022), 393-413

New aspects for the oscillation of first-order difference equations with deviating arguments

Emad R. Attia
Bassant M. El-Matary
Abstract. We study the oscillation of first-order linear difference equations with non-monotone deviating arguments. Iterative oscillation criteria are obtained which essentially improve, extend, and simplify some known conditions. These results will be applied to some numerical examples.
Keywords: difference equations, oscillation, non-monotone advanced arguments.
Mathematics Subject Classification: 39A10, 39A21.
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About the authors ▼
Emad R. Attia (corresponding author)
https://orcid.org/0000-0002-7978-5386
Prince Sattam Bin Abdulaziz University, College of Sciences and Humanities in Alkharj, Department of Mathematics, Alkharj 11942, Saudi Arabia; Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
Bassant M. El-Matary
https://orcid.org/0000-0003-4525-156X
Qassim University, College of Science and Arts, Department of Mathematics, Al-Badaya, Buraidah, Saudi Arabia; Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
About the article ▼
Communicated by Josef Diblík.
Received: 2021-11-25.
Revised: 2022-03-28.
Accepted: 2022-03-31.
Published online: 2022-04-29.
Cite this article as ▼
Emad R. Attia, Bassant M. El-Matary, New aspects for the oscillation of first-order difference equations with deviating arguments, Opuscula Math. 42, no. 3 (2022), 393-413, https://doi.org/10.7494/OpMath.2022.42.3.393.
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