On testing the existence of universal denominators for partial differential and difference equations

DOI10.1134/S0361768817020104zbMath1455.35053OpenAlexW2604053156MaRDI QIDQ2216805

S. V. Paramonov

Publication date: 17 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768817020104

Mathematics Subject Classification ID

Undecidability and degrees of sets of sentences (03D35) Solutions to PDEs in closed form (35C05) Linear higher-order PDEs (35G05)

Cites Work

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• Power series solutions of algebraic differential equations
• On rational solutions of linear partial differential or difference equations
• On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations
• Partial denominator bounds for partial linear difference equations
• A refined denominator bounding algorithm for multivariate linear difference equations

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