On Integro-Differential Algebras
Rings and Algebras
2014-06-10 v1 Commutative Algebra
Classical Analysis and ODEs
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 base differential algebra. This in particular gives an explicit construction of the integro-differential algebra on one generator. Properties of these free objects are studied.
Cite
@article{arxiv.1212.0266,
title = {On Integro-Differential Algebras},
author = {Li Guo and Georg Regensburger and Markus Rosenkranz},
journal= {arXiv preprint arXiv:1212.0266},
year = {2014}
}
Comments
26 pages