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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 39–43 (Mi zvmmf8044)  
This article is cited in 20 scientific papers (total in 21 papers)

A modification of one method for solving nonlinear self-adjoint eigenvalue problems for hamiltonian systems of ordinary differential equations

A. A. Abramov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (172 kB) Citations (21) English version article
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Abstract: A modification of the method proposed earlier by the author for solving nonlinear selfadjoint eigenvalue problems for linear Hamiltonian systems of ordinary differential equations is examined. The basic assumption is that the initial data (that is, the system matrix and the matrices specifying the boundary conditions) are monotone functions of the spectral parameter.
Key words: Hamiltonian system of ordinary differential equations, nonlinear eigenvalue problem, eigenvalue.
Received: 01.06.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 35–39
DOI: https://doi.org/10.1134/S0965542511010015
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. A. Abramov, “A modification of one method for solving nonlinear self-adjoint eigenvalue problems for hamiltonian systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 39–43; Comput. Math. Math. Phys., 51:1 (2011), 35–39
Citation in format AMSBIB
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    • This publication is cited in the following 21 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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    Full-text PDF :142
    References:65
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