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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| Published in: | Qualitative theory of dynamical systems Vol. 23; no. 1 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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01.02.2024
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| ISSN: | 1575-5460, 1662-3592 |
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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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| AbstractList | 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. |
| ArticleNumber | 13 |
| Author | Liu, Rui Wang, JinRong Wang, Jiangnan |
| Author_xml | – sequence: 1 givenname: Jiangnan surname: Wang fullname: Wang, Jiangnan organization: Department of Mathematics, Guizhou University, Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company, Guizhou University – sequence: 2 givenname: JinRong surname: Wang fullname: Wang, JinRong email: jrwang@gzu.edu.cn organization: Department of Mathematics, Guizhou University, Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company, Guizhou University – sequence: 3 givenname: Rui surname: Liu fullname: Liu, Rui email: gzliuruiha@163.com organization: Department of Mathematics, Guizhou University, Supercomputing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company, Guizhou University |
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| Keywords | Quaternion-valued matrix difference equations Hyers-Ulam stability Complex representation |
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| Snippet | This paper focuses on the Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation. Then one can... |
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| SubjectTerms | Difference and Functional Equations Dynamical Systems and Ergodic Theory Mathematics Mathematics and Statistics |
| Title | Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation |
| URI | https://link.springer.com/article/10.1007/s12346-023-00865-1 |
| Volume | 23 |
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