August 2022 Hyers–Ulam stability for linear quaternion-valued differential equations with constant coefficient
Dan Chen, Michal Fečkan, JinRong Wang
Rocky Mountain J. Math. 52(4): 1237-1250 (August 2022). DOI: 10.1216/rmj.2022.52.1237

Abstract

We study Hyers–Ulam stability for linear differential equations in the sense of quaternion-valued framework. This shows that Laplace transformation is also valid for finding the approximate solution for linear quaternion-valued differential equations.

Citation

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Dan Chen. Michal Fečkan. JinRong Wang. "Hyers–Ulam stability for linear quaternion-valued differential equations with constant coefficient." Rocky Mountain J. Math. 52 (4) 1237 - 1250, August 2022. https://doi.org/10.1216/rmj.2022.52.1237

Information

Received: 26 January 2021; Revised: 24 November 2021; Accepted: 25 November 2021; Published: August 2022
First available in Project Euclid: 26 September 2022

MathSciNet: MR4489157
zbMATH: 1512.34022
Digital Object Identifier: 10.1216/rmj.2022.52.1237

Subjects:
Primary: 34D20

Keywords: Hyers–Ulam stability , linear quaternion-valued differential equations

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 4 • August 2022
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