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2010

Liouvillian solutions of linear difference-differential equations

9 years 8 months ago
Liouvillian solutions of linear difference-differential equations
For a field k with an automorphism and a derivation , we introduce the notion of liouvillian solutions of linear difference-differential systems {(Y ) = AY, (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), (x) = x + 1, (t) = d dt and the size of the system is a prime. Contents
Ruyong Feng, Michael F. Singer, Min Wu
Added 19 May 2011
Updated 19 May 2011
Type Journal
Year 2010
Where JSC
Authors Ruyong Feng, Michael F. Singer, Min Wu
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