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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Vydáno v:Qualitative theory of dynamical systems Ročník 22; číslo 3
Hlavní autoři: Wang, Jiangnan, Wang, JinRong, Liu, Rui
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.09.2023
Témata:
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
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Popis
Shrnutí: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