Hyers-Ulam Stability of the First-Order Matrix Differential Equations
We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential equations with variable coefficients.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/614745 |
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| _version_ | 1850109837764984832 |
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| author | Soon-Mo Jung |
| author_facet | Soon-Mo Jung |
| author_sort | Soon-Mo Jung |
| collection | DOAJ |
| description | We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential equations with variable coefficients. |
| format | Article |
| id | doaj-art-4353e58e72b949378a6dfdb7a3cc5528 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4353e58e72b949378a6dfdb7a3cc55282025-08-20T02:37:58ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/614745614745Hyers-Ulam Stability of the First-Order Matrix Differential EquationsSoon-Mo Jung0Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Republic of KoreaWe prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential equations with variable coefficients.http://dx.doi.org/10.1155/2015/614745 |
| spellingShingle | Soon-Mo Jung Hyers-Ulam Stability of the First-Order Matrix Differential Equations Journal of Function Spaces |
| title | Hyers-Ulam Stability of the First-Order Matrix Differential Equations |
| title_full | Hyers-Ulam Stability of the First-Order Matrix Differential Equations |
| title_fullStr | Hyers-Ulam Stability of the First-Order Matrix Differential Equations |
| title_full_unstemmed | Hyers-Ulam Stability of the First-Order Matrix Differential Equations |
| title_short | Hyers-Ulam Stability of the First-Order Matrix Differential Equations |
| title_sort | hyers ulam stability of the first order matrix differential equations |
| url | http://dx.doi.org/10.1155/2015/614745 |
| work_keys_str_mv | AT soonmojung hyersulamstabilityofthefirstordermatrixdifferentialequations |