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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 3, Pages 490–497 (Mi zvmmf25)  
This article is cited in 5 scientific papers (total in 5 papers)

On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations

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 (1069 kB) Citations (5)
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Abstract: The index of the homogeneous self-adjoint boundary value problem for the Hamiltonian systems of ordinary differential equations is introduced. It is assumed that the system has a nontrivial solution. The relationship between the index of an eigenvalue of the nonlinear eigenvalue problem and the index of the corresponding homogeneous problem is established. Properties of the index of the problem and those of the eigenvalue are examined.
Key words: Hamiltonian system of ordinary differential equations, nonlinear eigenvalue problem, eigenvalue, index of the boundary value problem.
Received: 29.09.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 3, Pages 474–481
DOI: https://doi.org/10.1134/S0965542509030099
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 490–497; Comput. Math. Math. Phys., 49:3 (2009), 474–481
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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