Opuscula Mathematica
Opuscula Math. 43, no. 6 (2023), 789-801

Oscillation conditions for difference equations with several variable delays

Bassant M. El-Matary
Hassan A. El-Morshedy
Vasileios Benekas
Ioannis P. Stavroulakis
Abstract. A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
Keywords: oscillation, difference equations, non-monotone delays, first order.
Mathematics Subject Classification: 39A10, 39A21.
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About the authors ▼
Bassant M. El-Matary
https://orcid.org/0000-0003-4525-156X
Qassim University, College of Science and Arts, Department of Mathematics, Al-Badaya, Buraidah 51951, Saudi Arabia; Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
Hassan A. El-Morshedy (corresponding author)
https://orcid.org/0000-0003-2571-1215
Damietta University, Faculty of Science, Department of Mathematics, New Damietta 34517, Egypt
Vasileios Benekas
https://orcid.org/0000-0001-9693-1499
University of Ioannina, Department of Mathematics, 45110 Ioannina, Greece
Ioannis P. Stavroulakis
https://orcid.org/0000-0002-4810-0540
University of Ioannina, Department of Mathematics, 45110 Ioannina, Greece
About the article ▼
Communicated by Josef Diblík.
Received: 2023-05-18.
Revised: 2023-06-18.
Accepted: 2023-07-08.
Published online: 2023-07-22.
Cite this article as ▼
Bassant M. El-Matary, Hassan A. El-Morshedy, Vasileios Benekas, Ioannis P. Stavroulakis, Oscillation conditions for difference equations with several variable delays, Opuscula Math. 43, no. 6 (2023), 789-801, https://doi.org/10.7494/OpMath.2023.43.6.789.
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