Procedures for constructing truncated solutions of linear differential equations with infinite and truncated power series in the role of coefficients

DOI10.1134/S036176882102002XOpenAlexW3155999182WikidataQ115247912 ScholiaQ115247912MaRDI QIDQ2027859

Yanyan Li

Publication date: 28 May 2021

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

Full work available at URL: https://doi.org/10.1134/s036176882102002x

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Packaged methods for numerical algorithms (65Y15)

Related Items (3)

Exhaustive use of information on an equation with truncated coefficients ⋮ Counterexamples to the assumption on the possibility of prolongation of truncated solutions of a truncated LODE ⋮ On truncated series involved in exponential-logarithmic solutions of truncated LODEs

Uses Software

• Maple
• TruncatedSeries

Cites Work

• Unnamed Item
• On the identification and stability of formal invariants for singular differential equations
• Truncated and infinite power series in the role of coefficients of linear ordinary differential equations
• Regular solutions of linear ordinary differential equations and truncated series
• Truncated series and formal exponential-logarithmic solutions of linear ordinary differential equations
• 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
• Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients
• Higher-Order Linear Differential Systems with Truncated Coefficients
• Asymptotic behaviour and expansions of solutions of an ordinary differential equation
• Formal solutions of linear differential and difference equations

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