Geodesic
On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1202-1208

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Certain properties of the nonlinear self-adjoint eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities are examined. Under certain assumptions on the way in which the matrix of the system and the matrix specifying the boundary condition at a regular point depend on the spectral parameter, a numerical method is proposed for determining the number of eigenvalues lying on a prescribed interval of the spectral parameter. 
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     title = {On the self-adjoint nonlinear eigenvalue problem for {Hamiltonian} systems of ordinary differential equations with singularities},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {7},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a5/}
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A. A. Abramov; V. I. Ul'yanova; L. F. Yukhno. On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1202-1208. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a5/