A New Generalization of the Liouville–Jacobi Identity
Abstract
Abstract 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 d d t X ( t ) + A ( t ) X ( t ) + X ( t ) B ( t ) = F ( t ) , X ( t 0 ) = X 0 .
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Matrix Theory and Algorithms
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of Physics Conference Series
- Publisher
- IOP Publishing
- Volume
- 3239
- Issue
- 1
- Pages
- 012001–012001
- Publication date
- 1 May 2026
- Language
- EN