Hyers–Ulam Stability for Quantum Equations of Euler Type

Douglas R. Anderson and Masakazu Onitsuka

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-10

Abstract:

Many applications using discrete dynamics employ either - difference equations or - difference equations. In this work, we introduce and study the Hyers–Ulam stability (HUS) of a quantum ( - difference) equation of Euler type. In particular, we show a direct connection between quantum equations of Euler type and - difference equations of constant step size with constant coefficients and an arbitrary integer order. For equation orders greater than two, the - difference results extend first-order and second-order results found in the literature, and the Euler-type - difference results are completely novel for any order. In many cases, the best HUS constant is found.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5626481

DOI: 10.1155/2020/5626481

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