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Transforming linear functional systems into fully integrable systems
Linear functional systems (fully) integrable systems Reflexive closures Localizations Ore modules Laurent–Ore modules
2013/9/3
A linear (partial) functional system consists of linear partial differential, difference equations or any mixture thereof. We present an algorithm that determines whether linear functional systems are...
Picard–Vessiot Extensions for Linear Functional Systems
Linear functional systems Picard-Vessiot extensions Fundamental matrices Modules of formal solutions
2013/9/3
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper,we construct fundamental matrices and P...