Monodromy groups of parameterized linear differential equations with regular singularities

Details Monodromy groups of parameterized linear differential equations with regular singularities Monodromy groups of parameterized linear differential equations with regular singularities

2011-06-14

arxiv.org/abs/1106.2664v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

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 singularities and solve both a parameterized
version of the weak Riemann-Hilbert Problem and a special case of the inverse
problem in parameterized Picard-Vessiot theory.

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