Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales
Classical Analysis and ODEs
2012-12-19 v1
Abstract
We establish the stability of higher-order linear non-homogeneous Cauchy-Euler dynamic equations on time scales in the sense of Hyers and Ulam. That is, if an approximate solution of a higher-order Cauchy-Euler equation exists, then there exists an exact solution to that dynamic equation that is close to the approximate one.
Keywords
Cite
@article{arxiv.1212.4163,
title = {Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales},
author = {Douglas R. Anderson},
journal= {arXiv preprint arXiv:1212.4163},
year = {2012}
}
Comments
8 preliminary pages