Geodesic
A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments
Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 229-234.

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A result is proved concerning the existence of periodic solutions of a system with delay; this theorem is new for ordinary differential equations. An integral operator is constructed, acting in the space of continuous functions, whose fixed points are periodic solutions of the system under consideration. 
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     author = {V. V. Strygin},
     title = {A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--234},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a10/}
}
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V. V. Strygin. A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments. Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 229-234. http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a10/