An integro-differential structure for Dirac distributions

DOI10.1016/j.jsc.2018.01.003zbMath1428.12008arXiv1707.06591OpenAlexW2963050687WikidataQ129321390 ScholiaQ129321390MaRDI QIDQ1757010

Nitin Serwa, Markus Rosenkranz

Publication date: 28 December 2018

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06591

zbMATH Keywords

boundary problemsdistribution theorydifferential algebraRota-Baxter algebra

Mathematics Subject Classification ID

Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Abstract differential equations (12H20)

Cites Work

• On integro-differential algebras.
• Transforming problems from analysis to algebra: a case study in linear boundary problems
• Formal algorithmic elimination for PDEs
• An algebraic foundation for factoring linear boundary problems
• Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
• The diamond lemma for ring theory
• A noncommutative algebraic operational calculus for boundary problems
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• On differential Rota-Baxter algebras.
• Green's Functions for Stieltjes Boundary Problems
• Distributions
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