Geodesic
On the existence of periodic solutions for nonconvex differential inclusions
Archivum mathematicum, Tome 32 (1996) no. 1, pp. 1-8.

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Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.
Classification : 34A60, 34G20
Keywords: lower semicontinuous multifunction; $C_M$-continuous selector; tangent cone; contingent derivative; Filippov regularization; fixed point 
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Kravvaritis, Dimitrios; Papageorgiou, Nikolaos S. On the existence of periodic solutions for nonconvex differential inclusions. Archivum mathematicum, Tome 32 (1996) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/ARM_1996__32_1_a0/