paper

Hyers-Ulam stability of second-order linear dynamic equations on time scales

arXiv:1008.3726

Abstract

We establish the stability of second-order linear dynamic equations on time scales in the sense of Hyers and Ulam. To wit, if an approximate solution of the second-order linear equation exists, then there exists an exact solution to the dynamic equation that is close to the approximate one.

7 pages, preprint in draft form