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

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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. 
@article{IVM_2017_5_a9,
     author = {M. T. Teryokhin and O. V. Baeva},
     title = {Periodic solutions to nonlinear nonautonomous system of differential equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--96},
     publisher = {mathdoc},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_5_a9/}
}
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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/