On Formal Power Series Solutions of Regular Differential Chains - Archive ouverte HAL
Conference Papers Year : 2024

On Formal Power Series Solutions of Regular Differential Chains

Abstract

In their celebrated 1984 article, Denef and Lipshitz provide an algorithm for deciding whether a finite system of ordinary differential polynomials has formal power series solutions. This algorithm has never been implemented. In this paper, we describe some key algorithmic tools for transforming this decision result into practical software.
Fichier principal
Vignette du fichier
paper-casc-2024.pdf (342.28 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04547418 , version 1 (15-04-2024)
hal-04547418 , version 2 (29-04-2024)
hal-04547418 , version 3 (11-09-2024)

Identifiers

Cite

François Boulier, François Lemaire. On Formal Power Series Solutions of Regular Differential Chains. Computer Algebra in Scientific Computing (CASC) 26th International Workshop, Sep 2024, Rennes, France. pp.82-99, ⟨10.1007/978-3-031-69070-9_6⟩. ⟨hal-04547418v3⟩
197 View
132 Download

Altmetric

Share

More