Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients

DOI10.1134/S036176881602002XzbMath1345.34011OpenAlexW2328354495MaRDI QIDQ2628786

Dennis E. Khmelnov, Sergey A. Abramov, Anna A. Ryabenko

Publication date: 15 July 2016

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

Full work available at URL: https://doi.org/10.1134/s036176881602002x

zbMATH Keywords

algorithmsMaple proceduresLaurent, regular, and formal (exponential-logarithmic) solutions

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Laurent, rational, and hypergeometric solutions of linear \(q\)-difference systems of arbitrary order with polynomial coefficients, Procedures for searching Laurent and regular solutions of linear differential equations with the coefficients in the form of truncated power series, Construction of partial Laurent solutions to truncated differential systems, Procedures for constructing truncated solutions of linear differential equations with infinite and truncated power series in the role of coefficients, On the Differential and Full Algebraic Complexities of Operator Matrices Transformations, On truncated series involved in exponential-logarithmic solutions of truncated LODEs

Uses Software

• Maple
• EG

Cites Work

• Unnamed Item
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