Geodesic
On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 4, pp. 638-645

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Properties of the eigenvalues are examined in a nonlinear self-adjoint eigenvalue problem for linear Hamiltonian systems of ordinary differential equations. In particular, it is proved that, under certain assumptions, every eigenvalue is isolated and there exists an eigenvalue with any prescribed index. 
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     title = {On certain properties of a~nonlinear eigenvalue problem for {Hamiltonian} systems of ordinary differential equations},
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A. A. Abramov; V. I. Ul'yanova; L. F. Yukhno. On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 4, pp. 638-645. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_4_a5/