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Comparison of Tests for Oscillations in Delay/Advanced Difference Equations with Continuous Time

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Advances in Discrete Dynamical Systems, Difference Equations and Applications (ICDEA 2021)

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Abstract

In this paper we compare sufficient conditions for the oscillation of all solutions of the delay (advanced) difference equation with continuous time inspired by our results published in [Filomat 34(8), 2693–2704 (2020)] to relevant results in the literature. The oscillatory conditions appear for various functional equations, but their comparison is possible for some special forms. We provide various examples with constant delays (advances) and with variable or constant coefficients, on which we have shown the independency of our conditions.

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Acknowledgements

The research of H. Péics is supported by the Serbian Ministry of Science, Technology and Development for Scientific Research Grant No. III44006.

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Authors and Affiliations

  1. Faculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, Subotica, Serbia

    Andrea Rožnjik & Hajnalka Péics

  2. Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi, 15122, Athens, Greece

    George E. Chatzarakis

Authors
  1. Andrea Rožnjik
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  2. Hajnalka Péics
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  3. George E. Chatzarakis
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Corresponding author

Correspondence to Andrea Rožnjik .

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Editors and Affiliations

  1. Department of Mathematics, Trinity University, San Antonio, TX, USA

    Saber Elaydi

  2. University of Rhode Island, Kingston, RI, USA

    Mustafa R. S. Kulenović

  3. University of Sarajevo, Sarajevo, Bosnia and Herzegovina

    Senada Kalabušić

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Rožnjik, A., Péics, H., Chatzarakis, G.E. (2023). Comparison of Tests for Oscillations in Delay/Advanced Difference Equations with Continuous Time. In: Elaydi, S., Kulenović, M.R.S., Kalabušić, S. (eds) Advances in Discrete Dynamical Systems, Difference Equations and Applications. ICDEA 2021. Springer Proceedings in Mathematics & Statistics, vol 416. Springer, Cham. https://doi.org/10.1007/978-3-031-25225-9_19

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