线性四元数值微分方程的Hyers-Ulam稳定性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-02-27 DOI:10.58997/ejde.2023.21

Jiaojiao Lv, Jinrong Wang, R. Liu

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引用次数: 1

摘要

本文研究了一类一阶线性四元数微分方程的Hyers-Ulam稳定性。我们将线性四元数微分方程转化为实微分系统。根据向量2-范数与四元数模的等价关系，得到了线性四元数微分方程的Hyers-Ulam稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hyers-Ulam stability of linear quaternion-valued differential equations

In this article, we study the Hyers-Ulam stability of the first-order linear quaternion-valued differential equations. We transfer a linear quaternion-valued differential equation into a real differential system. The Hyers-Ulam stability results for the linear quaternion-valued differential equations are obtained according to the equivalent relationship between the vector 2-norm and the quaternion module.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.