On Formal Power Series Solutions of Regular Differential Chains - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

On Formal Power Series Solutions of Regular Differential Chains

Résumé

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.
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Dates et versions

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

Identifiants

Citer

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⟩
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