Geodesic
Periodic solutions to nonlinear nonautonomous system of differential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 86-96.

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a theorem on the existence of nonzero periodic solution to a system of differential eguations by the method of fixed point of nonlinear operator defined on a topological product of two compact sets.
Keywords: nonlinear ordinary differential equations dependent from small parameters, nonzero periodical solutions, principle of contracted mappings and Bohl–Brower theorem about fixed point. 
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M. T. Teryokhin; O. V. Baeva. Periodic solutions to nonlinear nonautonomous system of differential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2017), pp. 86-96. http://geodesic.mathdoc.fr/item/IVM_2017_5_a9/

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