Geodesic
The limits of maximal means and no autonomous differential inclusions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 47-51

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The existence theorem of the limit of the maximum average for almost periodic functions on a stand-alone solutions of no autonomous differential inclusion, the right part of which depends on the time periodically is proved. The main condition is a condition of multiple attainability for a differential inclusion. This condition is satisfied, for example, for a constant right-hand side, which does not belong to the eigenspace of speeds. The result is related to the theory of averaging of differential inclusions with slow and fast variables.
Keywords: no autonomous differential inclusions, time-periodic right-hand side, almost periodic functions, limit of the maximum average. 
O. P. Filatov. The limits of maximal means and no autonomous differential inclusions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 47-51. http://geodesic.mathdoc.fr/item/VSGU_2015_10_a4/
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