Geodesic
On the existence of periodic solutions of equations with strongly increasing principal part
Sbornik. Mathematics, Tome 193 (2002) no. 11, pp. 1707-1729

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

In this paper the author continues the extension of the theory of boundary-value problems to ordinary differential equations and inclusions with discontinuous right-hand sides on the basis of the construction of a new version of the method of translation along trajectories. A machinery for the proof of the existence of periodic solutions of second-order equations with superlinearly increasing terms is developed. 
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     author = {V. V. Filippov},
     title = {On the existence of periodic solutions of equations with strongly increasing principal part},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_11_a5/}
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V. V. Filippov. On the existence of periodic solutions of equations with strongly increasing principal part. Sbornik. Mathematics, Tome 193 (2002) no. 11, pp. 1707-1729. http://geodesic.mathdoc.fr/item/SM_2002_193_11_a5/