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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Vydané v:Qualitative theory of dynamical systems Ročník 23; číslo 1
Hlavní autori: Wang, Jiangnan, Wang, JinRong, Liu, Rui
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.02.2024
Predmet:
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
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Shrnutí: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