Opuscula Math. 43, no. 6 (2023), 789-801
https://doi.org/10.7494/OpMath.2023.43.6.789

 
Opuscula Mathematica

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.

Full text (pdf)

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  • Bassant M. El-Matary
  • ORCID iD 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
  • Communicated by Josef Diblík.
  • Received: 2023-05-18.
  • Revised: 2023-06-18.
  • Accepted: 2023-07-08.
  • Published online: 2023-07-22.
Opuscula Mathematica - cover

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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