Hyers--Ulam stability for quantum equations
Classical Analysis and ODEs
2020-05-12 v1
Abstract
We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum (-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers--Ulam stability for certain values of the Cayley parameter, and we establish the best (minimal) HUS constant in terms of the coefficient only, independent of and the Cayley parameter. If the Cayley parameter equals one half, then there is no Hyers--Ulam stability for any coefficient value in the complex plane.
Keywords
Cite
@article{arxiv.2005.05122,
title = {Hyers--Ulam stability for quantum equations},
author = {Douglas R. Anderson and Masakazu Onitsuka},
journal= {arXiv preprint arXiv:2005.05122},
year = {2020}
}
Comments
13 pages, preprint