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Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients

Author

Listed:
  • George E. Chatzarakis

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

  • Hajnalka Péics

    (Faculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, Serbia)

  • Andrea Rožnjik

    (Faculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, Serbia)

Abstract

This paper considers difference equations with continuous time, piecewise linear delay functions, and oscillatory coefficients. We present new conditions on the coefficients that provide the oscillatory property of the solutions of the considered difference equations. The given criteria are compared to the existing oscillatory conditions in the literature using examples.

Suggested Citation

  • George E. Chatzarakis & Hajnalka Péics & Andrea Rožnjik, 2025. "Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients," Mathematics, MDPI, vol. 13(8), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1325-:d:1637379
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    References listed on IDEAS

    as
    1. G. E. Chatzarakis & H. Péics & I. P. Stavroulakis, 2014. "Oscillations in Difference Equations with Deviating Arguments and Variable Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    2. G. E. Chatzarakis & H. Péics & I. P. Stavroulakis, 2014. "Oscillations in Difference Equations with Deviating Arguments and Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Wiesława Nowakowska & Jarosław Werbowski, 2004. "Conditions for the oscillation of solutions of iterative equations," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-8, January.
    4. Braverman, Elena & Johnson, William T., 2019. "On oscillation of difference equations with continuous time and variable delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 449-457.
    5. Wiesława Nowakowska & Jarosław Werbowski, 2004. "Conditions for the oscillation of solutions of iterative equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2004(7), pages 543-550.
    6. L. Berezansky & G. E. Chatzarakis & A. Domoshnitsky & I. P. Stavroulakis, 2014. "Oscillations of Difference Equations with Several Oscillating Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. L. Berezansky & G. E. Chatzarakis & A. Domoshnitsky & I. P. Stavroulakis, 2014. "Oscillations of Difference Equations with Several Oscillating Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
    8. Weiping Yan & Jurang Yan, 1996. "Comparison and oscillation results for delay difference equations with oscillating coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-6, January.
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