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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.14927 |
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| _version_ | 1866911066703790080 |
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| author | Markov, Lubomir |
| author_facet | Markov, Lubomir |
| contents | A generalized Liouville-Jacobi Identity is proved for the determinant $\det{X(t)}$ of a solution $X(t)$ to the linear nonhomogeneous first-order matrix differential equation with left- and right-coefficient matrices $\ \frac{\rm d}{{\rm d}t} X(t) + A(t)X(t) + X(t)B(t)= F(t), \ X(t_0)=X_0.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Generalization of the Liouville-Jacobi Identity Markov, Lubomir Classical Analysis and ODEs 2020: 34A30, 15A15 A generalized Liouville-Jacobi Identity is proved for the determinant $\det{X(t)}$ of a solution $X(t)$ to the linear nonhomogeneous first-order matrix differential equation with left- and right-coefficient matrices $\ \frac{\rm d}{{\rm d}t} X(t) + A(t)X(t) + X(t)B(t)= F(t), \ X(t_0)=X_0.$ |
| title | A New Generalization of the Liouville-Jacobi Identity |
| topic | Classical Analysis and ODEs 2020: 34A30, 15A15 |
| url | https://arxiv.org/abs/2507.14927 |