Transforming linear functional systems into fully integrable systems

DOI10.1016/j.jsc.2011.12.028zbMath1252.68357OpenAlexW2066033598MaRDI QIDQ413413

J. Herrera, H. S. Yoon

Publication date: 7 May 2012

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.12.028

zbMATH Keywords

localizations(fully) integrable systemsLaurent-Ore moduleslinear functional systemsOre modulesreflexive closures

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items

Liouvillian solutions of linear difference-differential equations, Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals

Uses Software

• OreModules

Cites Work

• Differential Galois theory of linear difference equations
• Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules
• Non-commutative elimination in Ore algebras proves multivariate identities
• Galois theory of difference equations
• OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems
• A recursive method for determining the one-dimensional submodules of Laurent-Ore modules
• Picard--Vessiot extensions for linear functional systems
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