Picard--Vessiot structures

Research output: Working paper/PreprintPreprint

Abstract

We demonstrate existence and uniqueness of Picard–Vessiot extensions satisfying prescribed properties, for systems of linear differential equations over a field satisfying the same properties, under some closure assumptions on the field of constants. An example includes the case of a equations
over a real field, with a real-closed field of constants. The result is obtained
through a model theoretic approach.
Original languageEnglish GB
PublisherarXiv
StatePublished - 2018

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