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arXiv · 1212.4163

Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales

Douglas R. Anderson
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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.

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Douglas R. Anderson. 2012-12-17. Hyers-Ulam stability of higher-order Cauchy-Euler dynamic equations on time scales. https://arxiv.org/abs/1212.4163

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