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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1202–1208 (Mi zvmmf4560)  
This article is cited in 5 scientific papers (total in 5 papers)

On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities

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 (873 kB) Citations (5)
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Abstract: Certain properties of the nonlinear self-adjoint eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities are examined. Under certain assumptions on the way in which the matrix of the system and the matrix specifying the boundary condition at a regular point depend on the spectral parameter, a numerical method is proposed for determining the number of eigenvalues lying on a prescribed interval of the spectral parameter.
Key words: Hamiltonian system of ordinary differential equations, nonlinear eigenvalue problem, eigenvalue, numerical method for determining the number of eigenvalues.
Received: 19.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 7, Pages 1133–1139
DOI: https://doi.org/10.1134/S0965542508070063
Bibliographic databases:
Document Type: Article
UDC: 519.624.1
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1202–1208; Comput. Math. Math. Phys., 48:7 (2008), 1133–1139
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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