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arxiv: 1212.4163 · v1 · pith:MKZFZSIGnew · submitted 2012-12-17 · 🧮 math.CA

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

classification 🧮 math.CA
keywords cauchy-eulerdynamichigher-orderapproximateequationequationsexistsscales
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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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