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) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:34347)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: | Organisations -1 not found. |
| Depositing User: | Markus Rosenkranz |
| Date Deposited: | 20 Jun 2013 14:53 UTC |
| Last Modified: | 17 Aug 2022 10:56 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/34347 (The current URI for this page, for reference purposes) |
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