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Galois theory of parameterized differential equations and linear differential algebraic groups (2006)
| Content Provider | CiteSeerX |
|---|---|
| Author | Cassidy, Phyllis J. Singer, Michael F. |
| Description | 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. |
| File Format | |
| Language | English |
| Publisher | EMS Publishing House |
| Publisher Date | 2006-01-01 |
| Publisher Institution | DIFFERENTIAL EQUATIONS AND QUANTUM GROUPS. IRMA LECTURES IN MATHEMATICS AND THEORETICAL PHYSICS, VOL 9 |
| Access Restriction | Open |
| Subject Keyword | Galois Theory Parameterized Differential Equation Second Order Linear Differential Equation Isomonodromic Family Galois Group Give Example Basic Construction Parameterized Linear Differential Equation Linear Differential Algebraic Group Differential Equation |
| Content Type | Text |
| Resource Type | Article |
