Truncated series and formal exponential-logarithmic solutions of linear ordinary differential equations

DOI10.1134/S0965542520100024OpenAlexW3106902196WikidataQ115247833 ScholiaQ115247833MaRDI QIDQ2214160

Yanyan Li

Publication date: 6 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520100024

zbMATH Keywords

Newton polygonslinear ordinary differential equationstruncated power seriesformal exponential-logarithmic solutions

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (3)

Counterexamples to the assumption on the possibility of prolongation of truncated solutions of a truncated LODE ⋮ Procedures for constructing truncated solutions of linear differential equations with infinite and truncated power series in the role of coefficients ⋮ On truncated series involved in exponential-logarithmic solutions of truncated LODEs

Uses Software

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Cites Work

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• Regular solutions of linear ordinary differential equations and truncated series
• Procedures for searching Laurent and regular solutions of linear differential equations with the coefficients in the form of truncated power series
• Linear ordinary differential equations and truncated series
• Expansion of solutions to an ordinary differential equation into transseries
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation
• Formal solutions of linear differential and difference equations

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