Guo, Li,
Regensburger, Georg,
Rosenkranz, Markus
(2014)
*
On Integro-Differential Algebras.
*
Journal of Pure and Applied Algebra,
218
(3).
pp. 456-473.
ISSN 0022-4049.
(doi:10.1016/j.jpaa.2013.06.015)
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Official URL http://dx.doi.org/10.1016/j.jpaa.2013.06.015 |

## 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. Properties of the free objects are studied.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1016/j.jpaa.2013.06.015 |

Uncontrolled keywords: | Rota-Baxter algebras; integro-differential algebras; integro-differential equations; free objects. |

Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Markus Rosenkranz |

Date Deposited: | 20 Jun 2013 14:53 UTC |

Last Modified: | 29 May 2019 10:18 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/34347 (The current URI for this page, for reference purposes) |

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