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

Jiangnan Wang, JinRong Wang, Rui Liu

  • 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.

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