Geodesic
On the general nonlinear selfadjoint spectral problem for systems of ordinary differential equations with singularities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 1, pp. 38-43

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A nonlinear self-adjoint eigenvalue problem for the general linear system of ordinary differential equations is examined on an unbounded interval. A method is proposed for the approximate reduction of this problem to the corresponding problem on a finite interval. Under the assumption that the initial data are monotone functions of the spectral parameter, a method is given for determining the number of eigenvalues lying on a prescribed interval of this parameter. No direct calculation of eigenvalues is required in this method. 
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     title = {On the general nonlinear selfadjoint spectral problem for 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 = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_1_a4/}
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A. A. Abramov; V. I. Ul'yanova; L. F. Yukhno. On the general nonlinear selfadjoint spectral problem for systems of ordinary differential equations with singularities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 1, pp. 38-43. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_1_a4/