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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 385–392
DOI: https://doi.org/10.7868/S0044466915030023 (Mi zvmmf10166) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations

A. A. Abramovab, L. F. Yukhnocd

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia (MFTI)
b Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
c Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
d National Research Nuclear University (Moscow Engineering Physics Institute, MEPHI), Kashirskoe sh. 31, Moscow, 115409, Russia
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DOI: https://doi.org/10.7868/S0044466915030023
Abstract: A system of linear ordinary differential equations is examined on an infinite or semi-infinite interval. The basic conditions are nonlocal and are specified by a Stieltjes integral; moreover, certain redundant (and also nonlocal) conditions are imposed. At infinity, the solution is required to be bounded. A method for solving such an over-determined problem is proposed and analyzed. The method is numerically stable if an auxiliary problem that replaces the original one is numerically stable.
Key words: singular system of ordinary differential equations, additional nonlocal conditions, redundant conditions, numerical stability.
Received: 06.10.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 378–385
DOI: https://doi.org/10.1134/S0965542515030021
Bibliographic databases:
Document Type: Article
UDC: 519.624
MSC: Primary 34A45; Secondary 65L05, 65L20
Language: Russian
Citation: A. A. Abramov, L. F. Yukhno, “Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 385–392; Comput. Math. Math. Phys., 55:3 (2015), 378–385
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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