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. 
@article{VSGU_2015_10_a4,
     author = {O. P. Filatov},
     title = {The limits of maximal means and no autonomous differential inclusions},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {47--51},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_10_a4/}
}
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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/