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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1706–1717
DOI: https://doi.org/10.1134/S0044466919100028 (Mi zvmmf10967) 		 
This article is cited in 16 scientific papers (total in 16 papers)

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 (16)
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DOI: https://doi.org/10.1134/S0044466919100028
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.
Key words: differential equations, power series, Laurent series, truncated series, computer algebra systems.
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: 19.05.2019
Revised: 19.05.2019
Accepted: 10.06.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1649–1659
DOI: https://doi.org/10.1134/S0965542519100026
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: S. A. Abramov, A. A. Ryabenko, D. E. Khmelnov, “Linear ordinary differential equations and truncated series”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1706–1717; Comput. Math. Math. Phys., 59:10 (2019), 1649–1659
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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