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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1294–1298
DOI: https://doi.org/10.7868/S0044466916070024 (Mi zvmmf10430) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions

A. A. Abramova, L. F. Yukhnobc

a Dorodnicyn Computing Center, Russian Academy of Sciences
b National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
c Institute of Applied Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.7868/S0044466916070024
Abstract: A nonlinear eigenvalue problem for a linear system of ordinary differential equations is examined on a semi-infinite interval. The problem is supplemented by nonlocal conditions specified by a Stieltjes integral. At infinity, the solution must be bounded. In addition to these basic conditions, the solution must satisfy certain redundant conditions, which are also nonlocal. A numerically stable method for solving such a singular overdetermined eigenvalue problem is proposed and analyzed. The essence of the method is that this overdetermined problem is replaced by an auxiliary problem consistent with all the above conditions.
Key words: singular system of ordinary differential equations, nonlinear eigenvalue problem, additional nonlocal conditions, redundant conditions, numerical stability.
Received: 26.01.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1264–1268
DOI: https://doi.org/10.1134/S0965542516070022
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. A. Abramov, L. F. Yukhno, “A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1294–1298; Comput. Math. Math. Phys., 56:7 (2016), 1264–1268
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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