Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations

In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation. Furthermore, we prove the Hyers-Ulam stability of the second-order linear homogeneous quaternion-valued forward and backward difference equation by converting them into th...

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Bibliographic Details
Published in:	Qualitative theory of dynamical systems Vol. 22; no. 3
Main Authors:	Wang, Jiangnan, Wang, JinRong, Liu, Rui
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.09.2023
Subjects:	Difference and Functional Equations Dynamical Systems and Ergodic Theory Mathematics Mathematics and Statistics Hyers–Ulam stability Quaternion-valued difference equations Diagonalizable matrix
ISSN:	1575-5460, 1662-3592
Online Access:	Get full text
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Summary:	In this paper, we consider the Hyers–Ulam stability of the first-order linear homogeneous quaternion matrix difference equation. Furthermore, we prove the Hyers-Ulam stability of the second-order linear homogeneous quaternion-valued forward and backward difference equation by converting them into the first-order quaternion matrix difference equation. Finally, some examples are given to support the theoretical results.
ISSN:	1575-5460 1662-3592
DOI:	10.1007/s12346-023-00818-8