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

Douglas R. Anderson and Masakazu Onitsuka

Applied Mathematics and Computation, 2019, vol. 344-345, 128-140

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.

Keywords: Stability; First order; Hyers–Ulam; Time scales; Exponential function with alternating sign; Approximate solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:344-345:y:2019:i::p:128-140

DOI: 10.1016/j.amc.2018.10.014

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