On integro-differential algebras

@article{Guo2014OnIA,
  title={On integro-differential algebras},
  author={Li Guo and G. Regensburger and M. Rosenkranz},
  journal={Journal of Pure and Applied Algebra},
  year={2014},
  volume={218},
  pages={456-473}
}
  • 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
    Constructions of Free Commutative Integro-Differential Algebras
    • 6
    • PDF
    On rings of differential Rota-Baxter operators
    • 5
    • PDF
    Recent progress in an algebraic analysis approach to linear systems
    • 13
    • PDF
    An integro-differential structure for Dirac distributions
    • 4
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 42 REFERENCES
    Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
    • 128
    • PDF
    Integro-differential polynomials and operators
    • 24
    • PDF
    On Free Baxter Algebras: Completions and the Internal Construction
    • 80
    • PDF
    A unified algebraic approach to the classical Yang-Baxter equation
    • C. Bai
    • Mathematics, Physics
    • 2007
    • 94
    • PDF
    On the Structure of Abstract Algebras
    • 864
    Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
    • 74
    • PDF
    On Differential Rota-Baxter Algebras
    • 98
    • PDF
    Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
    • 38
    • PDF
    Baxter Algebras and Shuffle Products
    • 176
    • PDF