Generalized Differential Galois Theory

Details Generalized Differential Galois Theory Generalized Differential Galois Theory

2007-07-24

arxiv.org/abs/0707.3583v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

71 pages, part of author's Phd. thesis

Scientific paper

A Galois theory of differential fields with parameters is developed in a
manner that generalizes Kolchin's theory. It is shown that all connected
differential algebraic groups are Galois groups of some appropriate
differential field extension.

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