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TitleOn integro-differential algebras
Author(s) Giovanni De Micheli, Georg Regensburger, Markus Rosenkranz
TypeArticle in Journal
AbstractAbstract 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.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404913001424
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume218
Number3
Pages456 - 473
Year2014
Edition0
Translation No
Refereed No
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