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Hyers–Ulam stability for a discrete time scale with two step sizes

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  • Anderson, Douglas R.
  • Onitsuka, Masakazu

Abstract

We clarify the Hyers–Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, in the case of a specific time scale with two alternating step sizes, where the exponential function changes sign. In particular, in the case of HUS, we discuss the HUS constant, and whether a minimal HUS constant can be found.

Suggested Citation

  • Anderson, Douglas R. & Onitsuka, Masakazu, 2019. "Hyers–Ulam stability for a discrete time scale with two step sizes," Applied Mathematics and Computation, Elsevier, vol. 344, pages 128-140.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:128-140
    DOI: 10.1016/j.amc.2018.10.014
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    References listed on IDEAS

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    1. Onitsuka, Masakazu, 2018. "Hyers–Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 143-151.
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    Cited by:

    1. Irina Opraie & Dorian Popa & Liana Timboş, 2022. "The Best Ulam Constant of the Fréchet Functional Equation," Mathematics, MDPI, vol. 10(10), pages 1-10, May.
    2. Alaa E. Hamza & Maryam A. Alghamdi & Mymonah S. Alharbi, 2021. "On Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales," Mathematics, MDPI, vol. 9(13), pages 1-11, June.

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