Hyers-Ulam Stability For A Type Of Discrete Hill Equation

2023/03/16 by Anderson, Douglas R., Onitsuka, Masakazu
#34N05 #39A10 #39A23 #39A45 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.10072

Abstract

We establish the Hyers-Ulam stability of a second-order linear Hill-type h-difference equation with a periodic coefficient. Using results from first-order h-difference equations with periodic coefficient of arbitrary order, both homogeneous and non-homogeneous, we also establish a Hyers-Ulam stability constant. Several interesting examples are provided. As a powerful application, we use the main result to prove the Hyers-Ulam stability of a certain third-order h-difference equation with periodic coefficients of one form.

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