Best constant for Ulam stability of first-order h-difference equations with periodic coefficient
Classical Analysis and ODEs
2020-04-08 v1
Abstract
We establish the best (minimum) constant for Ulam stability of first-order linear -difference equations with a periodic coefficient. First, we show Ulam stability and find the Ulam stability constant for a first-order linear equation with a period-two coefficient, and give several examples. In the last section we prove Ulam stability for a periodic coefficient function of arbitrary finite period. Results on the associated first-order perturbed linear equation with periodic coefficient are also included.
Cite
@article{arxiv.2004.03465,
title = {Best constant for Ulam stability of first-order h-difference equations with periodic coefficient},
author = {Douglas R. Anderson and Masakazu Onitsuka and John Michael Rassias},
journal= {arXiv preprint arXiv:2004.03465},
year = {2020}
}
Comments
17 pages