Szczegóły publikacji
Opis bibliograficzny
Picard-Vessiot theory for real fields / Teresa Crespo, Zbigniew Hajto, Elżbieta SOWA // Israel Journal of Mathematics ; ISSN 0021-2172. — 2013 — vol. 198 iss. 1, s. 75–89. — Bibliogr. s. 88–89, Abstr.
Autorzy (3)
- Crespo Teresa
- Hajto Zbigniew
- AGHAdamus Elżbieta
Dane bibliometryczne
| ID BaDAP | 78525 |
|---|---|
| Data dodania do BaDAP | 2014-01-07 |
| Tekst źródłowy | URL |
| DOI | 10.007/s11856-013-0015-x |
| Rok publikacji | 2013 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Israel Journal of Mathematics |
Abstract
The existence of a Picard-Vessiot extension for a homogeneous linear differential equation has been established when the differential field over which the equation is defined has an algebraically closed field of constants. In this paper, we prove the existence of a Picard-Vessiot extension for a homogeneous linear differential equation defined over a real differential field K with real closed field of constants. We give an adequate definition of the differential Galois group of a Picard-Vessiot extension of a real differential field with real closed field of constants and we prove a Galois correspondence theorem for such a Picard-Vessiot extension.