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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 7, Pages 1228–1235 (Mi zvmmf9475)  
This article is cited in 7 scientific papers (total in 8 papers)

A nonlocal problem for singular linear systems of ordinary differential equations

A. A. Abramova, V. I. Ul'yanovaa, L. F. Yukhnob

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047 Russia
Full-text PDF (452 kB) Citations (8)
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Abstract: A system of linear ordinary differential equations is examined on an infinite half-interval. This system is supplemented by the boundedness condition for solutions and a nonlocal linear condition specified by the Stieltjes integral. A method for approximating the resulting problem by a problem posed on a finite interval is proposed, and the properties of the latter are investigated. A numerically stable method for solving this problem is examined. This method uses an auxiliary boundary value problem with separated boundary conditions.
Key words: singular system of ordinary differential equations, nonlocal condition, numerical method.
Received: 18.10.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 7, Pages 1146–1152
DOI: https://doi.org/10.1134/S0965542511070025
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A nonlocal problem for singular linear systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1228–1235; Comput. Math. Math. Phys., 51:7 (2011), 1146–1152
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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