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Communication Dans Un Congrès Année : 2010

Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems

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Moulay A. Barkatou
DMI
Thomas Cluzeau
DMI
Carole El Bacha
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DMI

Résumé

We consider the problem of computing regular formal solutions of systems of linear differential equations with analytic coefficients. The classical approach consists in reducing the system to an equivalent scalar linear differential equation and to apply the well-known Frobenius method. This transformation to a scalar equation is not necessarily relevant so we propose a generalization of the Frobenius method to handle directly square linear differential systems. Finally, we investigate the case of rectangular systems and show how their regular formal solutions can be obtained by computing those of an auxiliary square system.
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Dates et versions

hal-00633268 , version 1 (18-10-2011)

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  • HAL Id : hal-00633268 , version 1

Citer

Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha. Frobenius Method for Computing Power Series Solutions of Linear Higher-Order Differential Systems. Proceedings of Mathematical Theory of Networks and Systems (MTNS) 2010, Budapest (Hungary), Jul 2010, Budapest, Hungary. pp.Inconnu. ⟨hal-00633268⟩

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