On singular points of solutions of linear differential systems with polynomial coefficients

DOI10.1007/s10958-012-0919-8zbMath1258.34027OpenAlexW2054208936MaRDI QIDQ1930224

Yanyan Li

Publication date: 10 January 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0919-8

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (12)

Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients ⋮ Search of rational solutions to differential and difference systems by means of formal series ⋮ Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order ⋮ Revealing matrices of linear differential systems of arbitrary order ⋮ Laurent, rational, and hypergeometric solutions of linear \(q\)-difference systems of arbitrary order with polynomial coefficients ⋮ Particular solutions of linear differential and (\(q\)-) difference systems with hypergeometric right-hand sides ⋮ On full rank differential systems with power series coefficients ⋮ On ramification indices of formal solutions of constructive linear ordinary differential systems ⋮ Denominators of rational solutions of linear difference systems of an arbitrary order ⋮ Linear differential and difference systems: \(\mathrm{EG}_\delta\)- and \(\mathrm{EG}_\sigma\)-eliminations ⋮ When the Search for Solutions Can Be Terminated ⋮ On the Differential and Full Algebraic Complexities of Operator Matrices Transformations

Uses Software

• Maple

Cites Work

• On rational solutions of systems of linear differential equations
• Simple forms of higher-order linear differential systems and their applications in computing regular solutions
• Fraction-free row reduction of matrices of Ore polynomials.
• Simultaneously row- and column-reduced higher-order linear differential systems
• On solutions of linear functional systems
• EG-eliminations
• Computer Algebra in Scientific Computing
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• Unnamed Item

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