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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 1, Pages 4–17
DOI: https://doi.org/10.31857/S0044466920010020 (Mi zvmmf11010) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Regular solutions of linear ordinary differential equations and truncated series

S. A. Abramov, A. A. Ryabenko, D. E. Khmelnov

Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, 119333 Russia
Citations (12)
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DOI: https://doi.org/10.31857/S0044466920010020
Abstract: Linear ordinary differential equations with coefficients in the form of truncated formal power series are considered. Earlier, it was discussed what can be found from an equation specified in this way about its solutions belonging to the field of formal Laurent series. Now a similar question is discussed for regular solutions. We are still interested in information about these solutions that is invariant under possible prolongations of truncated series representing the coefficients of the equation. The possibility of including in the solutions symbolic unspecified coefficients of possible prolongations of the equation is also considered.
Key words: computer algebra, differential equations, power series, truncated series, regular solutions.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00032
This work was supported by the Russian Foundation for Basic Research (project no. 19-01-00032).
Received: 20.08.2019
Revised: 30.08.2019
Accepted: 18.09.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 1, Pages 1–14
DOI: https://doi.org/10.1134/S0965542520010029
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: S. A. Abramov, A. A. Ryabenko, D. E. Khmelnov, “Regular solutions of linear ordinary differential equations and truncated series”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 4–17; Comput. Math. Math. Phys., 60:1 (2020), 1–14
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:17
     
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