Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes
Classical Analysis and ODEs
2018-07-12 v1
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 constant can be found.
Cite
@article{arxiv.1807.03859,
title = {Hyers--Ulam Stability for Discrete Time Scale with Two Step Sizes},
author = {Douglas R. Anderson},
journal= {arXiv preprint arXiv:1807.03859},
year = {2018}
}
Comments
Preliminary Report, 15 pages