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Abstrakty
We present the history of the development of Picard-Vessiot theory for linear ordinary differential equations. We are especially concerned with the condition of not adding new constants, pointed out by R. Baer. We comment on Kolchin's condition of algebraic closedness of the subfield of constants of the given differential field over which the equation is defined. Some new results concerning existence of a Picard-Vessiot extension for a homogeneous linear ordinary differential equation defined over a real differential field K with real closed field of constants F are also mentioned.
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Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
215-220
Opis fizyczny
Daty
wydano
2011
Twórcy
autor
- Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
autor
- Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland
Bibliografia
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-14