Higher-Order Linear Differential Systems with Truncated Coefficients
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Publication:3090888
DOI10.1007/978-3-642-23568-9_2zbMath1344.68290OpenAlexW2154217256MaRDI QIDQ3090888
Eckhard Pflügel, Sergey A. Abramov, Moulay A. Barkatou
Publication date: 2 September 2011
Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-23568-9_2
Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30)
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Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients ⋮ On exponential-logarithmic solutions of linear differential systems with power series coefficients ⋮ 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 ⋮ 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 ⋮ On full rank differential systems with power series coefficients ⋮ Regular solutions of linear differential systems with power series coefficients ⋮ 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 ⋮ Linear ordinary differential equations and truncated series ⋮ On truncated series involved in exponential-logarithmic solutions of truncated LODEs
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