Liouvillian Solutions of Difference-Differential Equations

Simple item page
dc.creatorFeng, Ruyong
dc.creatorSinger, Michael F.
dc.creatorWu, Min
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:43Z
dc.date.available2026-07-07T10:08:43Z
dc.descriptionFor a field k$with an automorphism σand a derivation δ, we introduce the notion of liouvillian solutions of linear difference-differential systems {σ(Y) = AY, δ(Y) = BY} over k and characterize the existence of liouvillian solutions in terms of the Galois group of the systems. We will give an algorithm to decide whether such a system has liouvillian solutions when k = C(x,t), σ(x) = x+1, δ= d/dt$ and the size of the system is a prime.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/0810.1574
dc.identifierhttp://arxiv.org/abs/0810.1574
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171090
dc.subjectSymbolic Computation
dc.subjectClassical Analysis and ODEs
dc.titleLiouvillian Solutions of Difference-Differential Equations
dc.typetext

Files

Collections

arXiv