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METHOD FOR CHECKING THE REGULARITY OF A SINGULAR POINT OF A SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
- Authors: Ilyukhin D.O.1, Parusnikova A.V.2
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Affiliations:
- State Budgetary Educational Institution “Bauman Engineering School” № 1580
- HSE University
- Issue: No 1 (2025)
- Pages: 5-9
- Section: COMPUTER ALGEBRA
- URL: https://journal-vniispk.ru/0132-3474/article/view/287074
- DOI: https://doi.org/10.31857/S0132347425010015
- EDN: https://elibrary.ru/DXVBZG
- ID: 287074
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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.
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About the authors
D. O. Ilyukhin
State Budgetary Educational Institution “Bauman Engineering School” № 1580Moscow, Russia
A. V. Parusnikova
HSE University
Email: aparusnikova@hse.ru
Moscow, Russia
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