2016 | OriginalPaper | Buchkapitel
Integrable Systems and Difierential Galois Theory
verfasst von : Juan J. Morales-Ruiz
Erschienen in: Geometry and Dynamics of Integrable Systems
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At the end of the nineteenth century, Picard [25, 26], [27, Chapter XVII] and, in a clearer way, Vessiot in his PhD Thesis [30], created and developed a Galois theory for linear differential equations. This field of study, henceforth called Picard–Vessiot theory, was continued from the forties to the sixties of the twentieth century by Kolchin, through the introduction of the modern algebraic abstract terminology and the obtention of new important results, see [12] and references therein. Today, the standard reference of this theory is the monograph [29].