Results 71 to 80 of about 16,888 (194)
Non-integrability of the axisymmetric Bianchi IX cosmological model via Differential Galois Theory [PDF]
, 2021 Primitivo B. Acosta-Humánez +2 more
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, 2020 Galois Theory is a powerful tool to study the roots of polynomials. In this sense, the differential Galois theory is the analogue of Galois theory for linear differential equations. In this thesis, we will construct the notion of a differential field and Picard-Vessiot extension of a linear differential equation as the analogue of a field and the ...
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On the geometrization of a lemma of differential Galois theory [PDF]
, 2010 Colas Bardavid
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Differential Galois theory of infinite dimension [PDF]
Nagoya Mathematical Journal, 1996 This paper is the second part of our work on differential Galois theory as we promised in [U3]. Differential Galois theory has a long history since Lie tried to apply the idea of Abel and Galois to differential equations in the 19th century (cf. [U3], Introduction). When we consider Galois theory of differential equation, we have to separate the finite
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Iterative differential Galois theory: a model theoretic approach [PDF]
, 2009 Javier A. Moreno
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, 2012 We introduce the parameterized generic Galois group of a q-difference module, that is a differential group in the sense of Kolchin. It is associated to the smallest differential tannakian category generated by the q-difference module, equipped with the ...
Di Vizio, Lucia, Hardouin, Charlotte
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Galois theory of differential schemes
Added the theory of geometric quotients and several applications and ...
Tomašić, Ivan, Noohi, Behrang
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Galois theory of differential fields of positive characteristic [PDF]
Pacific Journal of Mathematics, 1989 Strongly normal extensions of a differential field \(K\) of positive characteristic are defined. On the set \(G\) of all differential isomorphisms of a strongly normal extension \(N\) of \(K\), a structure of an algebraic group is induced. Correspondences between subgroups of \(G\) and intermediate differential fields of \(N\) and \(K\) are studied ...
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Book Review: Lectures on differential Galois theory [PDF]
, 1996 Daniel Bertrand
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