Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation

This paper focuses on the Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation. Then one can transfer the second-order and higher-order linear nonhomogeneous quaternion-valued difference equations into the first-order linear nonhomoge...

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Bibliographic Details
Published in:	Qualitative theory of dynamical systems Vol. 23; no. 1
Main Authors:	Wang, Jiangnan, Wang, JinRong, Liu, Rui
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.02.2024
Subjects:	Difference and Functional Equations Dynamical Systems and Ergodic Theory Mathematics Mathematics and Statistics Quaternion-valued matrix difference equations Hyers-Ulam stability Complex representation
ISSN:	1575-5460, 1662-3592
Online Access:	Get full text
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Summary:	This paper focuses on the Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation. Then one can transfer the second-order and higher-order linear nonhomogeneous quaternion-valued difference equations into the first-order linear nonhomogeneous quaternion-valued matrix difference equations to obtain their Hyers-Ulam stability results. Finally, two examples are given to illustrate the theoretical results.
ISSN:	1575-5460 1662-3592
DOI:	10.1007/s12346-023-00865-1