On the solutions of systems of rational difference equations
β Scribed by N. Touafek; E.M. Elsayed
- Book ID
- 113796700
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 295 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
has presented some invariants for difference equations and systems of difference equations of rational Ε½ . form with constant and periodic coefficients of certain period . We report that the presented invariants as well as their difference equations can be generalized.
Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple