Resumen de On integro-differential algebras

Li Guo, Georg Regensburger, Markus Rosenkranz

• The concept of integro-differential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integrodifferential algebra with a weight, in analogy to the differential Rota�Baxter algebra.

  We construct free commutative integro-differential algebras with weight generated by a differential algebra. This gives in particular an explicit construction of the integrodifferential algebra on one generator. Properties of the free objects are studied.