Method for Checking the Regularity of a Singular Point of a System of Linear Differential Equations with Meromorphic Coefficients

This paper proposes a program written in a symbolic computing package that allows one to check whether a singular point of a linear meromorphic system of arbitrary order is regular. The program is based on the known method for reducing this system by linear substitution to a linear differential equation with meromorphic coefficients.

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Publication Details

Journal
Programming and Computer Software
Published
2025-02-01
DOI
https://doi.org/10.1134/s0361768824700555
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Method for Checking the Regularity of a Singular Point of a System of Linear Differential Equations with Meromorphic Coefficients

A. V. Parusnikova, D. O. Ilyukhin
Programming and Computer Software
Differential Equations and Boundary Problems
article

Method for Checking the Regularity of a Singular Point of a System of Linear Differential Equations with Meromorphic Coefficients

A. V. Parusnikova, D. O. Ilyukhin
article en

Abstract

This paper proposes a program written in a symbolic computing package that allows one to check whether a singular point of a linear meromorphic system of arbitrary order is regular. The program is based on the known method for reducing this system by linear substitution to a linear differential equation with meromorphic coefficients.

Programming and Computer SoftwareVol. 51(1)
National Research University Higher School of Economics (RU), Bauman Moscow State Technical University (RU)
Openalex Percentile: Top 95%
Differential Equations and Boundary Problems
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