A noncommutative algebraic operational calculus for boundary problems

DOI10.1007/s11786-013-0154-9zbMath1309.34016OpenAlexW1976119092MaRDI QIDQ2254066

A. Korporal, Markus Rosenkranz

Publication date: 4 February 2015

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-013-0154-9

zbMATH Keywords

integro-differential operatorsdifferential algebraring of fractionslinear boundary problemsMikusiński calculus

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Commutative rings of differential operators and their modules (13N10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

On De Graaf spaces of pseudoquotients ⋮ An integro-differential structure for Dirac distributions

Uses Software

• gfun
• Maple

Cites Work

• Transforming problems from analysis to algebra: a case study in linear boundary problems
• An algebraic operator approach to the analysis of Gerber-Shiu functions
• An algebraic foundation for factoring linear boundary problems
• An analytic problem whose solution follows from a simple algebraic identity
• Complexity of factoring and calculating the GCD of linear ordinary differential operators
• Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
• Localization with respect to endomorphisms
• Hurwitz series as formal functions
• A new symbolic method for solving linear two-point boundary value problems on the level of operators
• A skew polynomial approach to integro-differential operators
• Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
• Regular and Singular Boundary Problems in Maple
• A Note on Generalized Vandermonde Determinants
• Le calcul opérationnel d'intervalle fini
• A Symbolic Framework for Operations on Linear Boundary Problems
• On the ring of hurwitz series
• GFUN
• Fast computation of common left multiples of linear ordinary differential operators
• A symbolic framework for general polynomial domains in theorema
• Baxter algebras and combinatorial identities. I
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