Section: New Results

Systems of linear ordinary integro-differential equations

Participants : Alban Quadrat, Georg Regensburger [correspondent] .

A. Quadrat and G. Regensburger (in the frame of his grant) are working on a new approach for studying algebraic and algorithmic properties of systems of linear ordinary integro-differential equations with boundary conditions. In a recent series of papers, in particular, [100] , [101] , V. V. Bavula obtained numerous algebraic results for modules over the ring of integro-differential operators with polynomial coefficients using generalized Weyl algebras. We are interested in how far some of his approach can be made algorithmic and generalized to boundary problems. First results in this direction were presented at the Journées Nationales de Calcul Formel (JNCF 2011).