19 citations · 23 across the 5 of their papers we have counts for
5 papers
Some applications of the parameterized Picard-Vessiot theory
Claude Mitschi
This expository paper presents some applications of the parameterized Picard-Vessiot theory for ordinary differential equations, mainly related to monodromy.
Monodromy groups of parameterized linear differential equations with regular singularities
Claude Mitschi, Michael F. Singer
We study the notion of regular singularities for parameterized complex ordinary linear differential systems, prove an analogue of the Schlesinger theorem for systems with regular s…
Projective Isomonodromy and Galois Groups
Claude Mitschi, Michael F. Singer
In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy evolving deformation of linear differential equations, based on the example…
On the generalized Riemann-Hilbert problem with irregular singularities
A. A. Bolibruch, S. Malek, C. Mitschi
We give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincare ranks at prescribed singularities, to solve the generalized Riem…
On the Constructive Inverse Problem in Differential Galois Theory
William J. Cook, Claude Mitschi, Michael F. Singer
We give sufficient conditions for a linear differential equation to have a given semisimple group as its Galois group. For any linear algebraic group G given as a semidirect produc…