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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 624–627
(Mi zvmmf5)
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This article is cited in 4 scientific papers (total in 4 papers)
General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations
A. A. Abramova, V. I. Ul'yanovaa, L. F. Yukhnob a Dorodnitsyn Computing Center, Russian Academy of Sciences, ul.nbsp;Vavilovanbsp;40, Moscow, 119333, Russia
b Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
Abstract:
The general nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations is considered. A method is proposed for reducing the problem to one for a Hamiltonian system. Results for Hamiltonian systems previously obtained by the authors are extended to this system.
Key words:
Hamiltonian system of ordinary differential equations, nonlinear eigenvalue problem, eigenvalues.
Received: 01.10.2008
Citation:
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 624–627; Comput. Math. Math. Phys., 49:4 (2009), 602–605
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https://www.mathnet.ru/eng/zvmmf5 https://www.mathnet.ru/eng/zvmmf/v49/i4/p624
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Abstract page: | 310 | Full-text PDF : | 93 | References: | 58 | First page: | 6 |
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