Geodesic
General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 624-627 
A. A. Abramov; V. I. Ul'yanova; L. F. Yukhno. General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 624-627. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a4/
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     title = {General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Abramov A. A., “O vychislenii sobstvennykh znachenii nelineinoi spektralnoi zadachi dlya gamiltonovykh sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 41:1 (2001), 29–38 | MR | Zbl

[2] Abramov A. A., Ulyanova V. I., Yukhno L. F., “O nekotorykh svoistvakh nelineinoi spektralnoi zadachi dlya gamiltonovykh sistem obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 47:4 (2007), 638–645 | MR | Zbl

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