On the computation of rational solutions of linear integro-differential equations with polynomial coefficients

DOI10.1016/j.jsc.2023.102252OpenAlexW4384938520MaRDI QIDQ6051119

Thomas Cluzeau, Moulay A. Barkatou

Publication date: 19 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2023.102252

zbMATH Keywords

algorithmsintegro-differential equationscomputer algebrarational solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral operators (45P05) Integral operators (47G10) Theoretical approximation of solutions to integral equations (45L05) Integro-differential operators (47G20)

Cites Work

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• Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
• The algebra of integro-differential operators on an affine line and its modules.
• On rational solutions of systems of linear differential equations
• A skew polynomial approach to integro-differential operators
• Computing Polynomial Solutions and Annihilators of Integro-Differential Operators with Polynomial Coefficients
• The algebra of integro-differential operators on a polynomial algebra

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