Hyers-Ulam stability for differential systems with $2\times 2$ constant coefficient matrix
Classical Analysis and ODEs
2022-03-25 v1
Abstract
We explore the Hyers-Ulam stability of perturbations for a homogeneous linear differential system with constant coefficient matrix. New necessary and sufficient conditions for the linear system to be Hyers-Ulam stable are proven, and for the first time, the best (minimal) Hyers-Ulam constant for systems is found in some cases. Several examples are provided. Obtaining the best Hyers-Ulam constant for second-order constant coefficient differential equations illustrates the applicability of the strong results.
Cite
@article{arxiv.2203.13065,
title = {Hyers-Ulam stability for differential systems with $2\times 2$ constant coefficient matrix},
author = {Douglas R. Anderson and Masakazu Onitsuka},
journal= {arXiv preprint arXiv:2203.13065},
year = {2022}
}
Comments
18 pages