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arxiv: 1807.03859 · v1 · pith:DPVU4ICNnew · submitted 2018-07-10 · 🧮 math.CA

Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes

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keywords constanttimecasehyers--ulamscalesizesstabilitystep
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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 constant can be found.

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