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

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Abstract

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.

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Acknowledgements

The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from the editor too.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, Guiyang, 550025, Guizhou, China

    Jiangnan Wang, JinRong Wang & Rui Liu

  2. Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company, Guizhou University, Guiyang, 550025, Guizhou, China

    Jiangnan Wang, JinRong Wang & Rui Liu

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  1. Jiangnan Wang
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  2. JinRong Wang
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This work is supported by the National Natural Science Foundation of China (12161015) and Guizhou Provincial Basic Research Program (Natural Science) [2023]034, and Introduced Talents Program of Guizhou University [(2022)50].

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Wang, J., Wang, J. & Liu, R. Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation. Qual. Theory Dyn. Syst. 23, 13 (2024). https://doi.org/10.1007/s12346-023-00865-1

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