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Liouvillian solutions of linear difference-differential equations.
| Content Provider | CiteSeerX |
|---|---|
| Author | Feng, Ruyong Singer, Michael F. Wu, Min |
| Abstract | For a field k with an automorphism σ and a derivation δ, we introduce the notion of liouvillian solutions of linear difference-differential systems {σ(Y) = AY, δ(Y) = BY} over k and characterize the existence of liouvillian solutions in terms of the Galois group of the systems. In the forthcoming paper, we will propose an algorithm for deciding if linear difference-differential systems of prime order have liouvillian solutions. Key words: linear difference-differential equations, Galois theory, liouvillian sequences. |
| File Format | |
| Access Restriction | Open |
| Content Type | Text |