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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 1, Pages 46–55
DOI: https://doi.org/10.7868/S0044466915010081
(Mi zvmmf10134)
 

This article is cited in 2 scientific papers (total in 2 papers)

Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations

E. D. Kalinin

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
Full-text PDF (228 kB) Citations (2)
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Abstract: The multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations is examined. For the eigenvalues with prescribed indices, the existence and uniqueness of the solution is investigated. A numerical method for solving this problem is proposed, and some numerical results are presented.
Key words: multiparameter eigenvalue problem, weakly coupled system of ordinary differential equations, numerical eigenvalue method.
Received: 15.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 1, Pages 43–52
DOI: https://doi.org/10.1134/S096554251501008X
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: E. D. Kalinin, “Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 46–55; Comput. Math. Math. Phys., 55:1 (2015), 43–52
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i1/p46
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:204
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    References:37
    First page:11
     
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