On exponential-logarithmic solutions of linear differential systems with power series coefficients

DOI10.1134/S0361768815020073zbMath1344.34024OpenAlexW1992141773MaRDI QIDQ2629400

Yanyan Li

Publication date: 6 July 2016

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

Full work available at URL: https://doi.org/10.1134/s0361768815020073

zbMATH Keywords

formal power seriesformal 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) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (2)

Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients ⋮ On ramification indices of formal solutions of constructive linear ordinary differential systems

Uses Software

• Maple
• EG

Cites Work

• On full rank differential systems with power series coefficients
• On the identification and stability of formal invariants for singular differential equations
• An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system
• On the latest version of DESIR-II
• Linear differential and difference systems: \(\mathrm{EG}_\delta\)- and \(\mathrm{EG}_\sigma\)-eliminations
• Regular solutions of linear differential systems with power series coefficients
• Computable Infinite Power Series in the Role of Coefficients of Linear Differential Systems
• Higher-Order Linear Differential Systems with Truncated Coefficients
• Computer Algebra in Scientific Computing

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