Real Liouville Extensions |
| |
| Authors: | Teresa Crespo |
| |
| Affiliation: | Departament d’àlgebra i Geometria , Universitat de Barcelona , Barcelona , Spain |
| |
| Abstract: | ![]()
We characterize linear differential equations defined over a real differential field with a real closed field of constants C, which are solvable by real Liouville functions, as those having a differential Galois group whose identity component is solvable and C-split. |
| |
| Keywords: | Liouville extension Real Picard-Vessiot theory Split solvable algebraic group |
|
|
