On IntegroDifferential Algebras
Abstract
The concept of integrodifferential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integrodifferential algebra with a weight, in analogy to the differential RotaBaxter algebra. We construct free commutative integrodifferential algebras with weight generated by a base differential algebra. This in particular gives an explicit construction of the integrodifferential algebra on one generator. Properties of these free objects are studied.
 Publication:

arXiv eprints
 Pub Date:
 December 2012
 arXiv:
 arXiv:1212.0266
 Bibcode:
 2012arXiv1212.0266G
 Keywords:

 Mathematics  Rings and Algebras;
 Mathematics  Commutative Algebra;
 Mathematics  Classical Analysis and ODEs;
 16W99;
 12H05;
 12H20;
 47G20;
 68W30;
 34M15
 EPrint:
 26 pages