On integro-differential algebras

  title={On integro-differential algebras},
  author={Li Guo and G. Regensburger and M. Rosenkranz},
  journal={Journal of Pure and Applied Algebra},
  • Li Guo, G. Regensburger, M. Rosenkranz
  • Published 2014
  • Mathematics
  • Journal of Pure and Applied Algebra
  • Abstract 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 integro-differential 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 integro-differential algebra on one generator… CONTINUE READING
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