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arXiv · 2004.03465

Best constant for Ulam stability of first-order h-difference equations with periodic coefficient

Douglas R. Anderson·Masakazu Onitsuka·John Michael Rassias
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Abstract

We establish the best (minimum) constant for Ulam stability of first-order linear $h$-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.

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Douglas R. Anderson, Masakazu Onitsuka, John Michael Rassias. 2020-04-06. Best constant for Ulam stability of first-order h-difference equations with periodic coefficient. https://arxiv.org/abs/2004.03465

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