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arXiv · 1212.0266

On Integro-Differential Algebras

Li Guo·Georg Regensburger·Markus Rosenkranz
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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.

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Li Guo, Georg Regensburger, Markus Rosenkranz. 2012-12-03. On Integro-Differential Algebras. https://doi.org/10.1016/j.jpaa.2013.06.015

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