Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups

By P. Cassidy, Michael F. Singer. 2005

86 citations recorded by the source corpus.

We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential equations with respect to these parameters. We present the basic constructions and results, give examples, discuss how isomonodromic families fit into this theory and show how results from the theory of linear differential algebraic groups may be used to classify systems of second order linear differential equations.

Subfields: Mathematical Physics, Pharmaceutical Science

View Paper: https://www.semanticscholar.org/paper/1e12b8165dd22238a56be33854033e0393f9c2a2

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In Mathematical Physics

1. Charlotte Hardouin
2. Michael F. Singer

In Pharmaceutical Science

1. Charlotte Hardouin
2. Michael F. Singer

Citations in the corpus

• Differential Galois theory of linear difference equations (2008, methodology): “Cassidy has classified these groups [9,12]; the differential subgroups of (k ,+)n are precisely the zero sets of systems of homogeneous”