Email this article Linear Ordinary Differential Equations and Truncated Series
- Authors: Abramov S.A.1, Ryabenko A.A.1, Khmelnov D.E.1
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Affiliations:
- Dorodnitsyn Computing Center, Russian Academy of Sciences
- Issue: Vol 59, No 10 (2019)
- Pages: 1649-1659
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180837
- DOI: https://doi.org/10.1134/S0965542519100026
- ID: 180837
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Abstract
Linear ordinary differential equations with the coefficients in the form of truncated formal power series are considered. It is discussed what can be learned from the equation given in this from about its solutions belonging to the field of Laurent formal series. We are interested in the information about these solutions that is invariant to possible prolongations of those truncated series that represent the coefficients of the equation.
About the authors
S. A. Abramov
Dorodnitsyn Computing Center, Russian Academy of Sciences
Author for correspondence.
Email: sergeyabramov@mail.ru
Russian Federation, Moscow, 119333
A. A. Ryabenko
Dorodnitsyn Computing Center, Russian Academy of Sciences
Author for correspondence.
Email: anna.ryabenko@gmail.com
Russian Federation, Moscow, 119333
D. E. Khmelnov
Dorodnitsyn Computing Center, Russian Academy of Sciences
Author for correspondence.
Email: dennis_khmelnov@mail.ru
Russian Federation, Moscow, 119333
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