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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 4, Pages 638–645 (Mi zvmmf302)  
This article is cited in 7 scientific papers (total in 7 papers)

On certain properties of a nonlinear eigenvalue problem for Hamiltonian 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, 119991, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Full-text PDF (1074 kB) Citations (7)
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Abstract: Properties of the eigenvalues are examined in a nonlinear self-adjoint eigenvalue problem for linear Hamiltonian systems of ordinary differential equations. In particular, it is proved that, under certain assumptions, every eigenvalue is isolated and there exists an eigenvalue with any prescribed index.
Key words: Hamiltonian system of ordinary differential equations, nonlinear eigenvalue problem, eigenvalue.
Received: 10.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 4, Pages 612–619
DOI: https://doi.org/10.1134/S0965542507040069
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007), 638–645; Comput. Math. Math. Phys., 47:4 (2007), 612–619
Citation in format AMSBIB
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\by A.~A.~Abramov, V.~I.~Ul'yanova, L.~F.~Yukhno
\paper On certain properties of a~nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 4
\pages 638--645
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2376627}
\zmath{https://zbmath.org/?q=an:05200947}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 4
\pages 612--619
\crossref{https://doi.org/10.1134/S0965542507040069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248192250}
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    • This publication is cited in the following 7 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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    Abstract page:269
    Full-text PDF :110
    References:36
    First page:1
     
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