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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[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

[3] Abramov A. A., Ulyanova V. I., Yukhno L. F., “Ob indekse kraevoi zadachi dlya odnorodnoi gamiltonovoi sistemy differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 49:3 (2009), 490–497 | MR