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., 2009, Volume 49, Number 4,Pages <nobr>624

This article is cited in 4 papers

General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations

A. A. Abramov^a, V. I. Ul'yanova^a, L. F. Yukhno^b

^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.

UDC: 519.624.2

Received: 01.10.2008