Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University444910.18287/2541-7525-2015-21-10-47-51The limits of maximal means and no autonomous differentialinclusionsFilatovO.P.morenov.sv@ssau.ru15102015211047511505201715052017Copyright © 2015, Filatov O.2015<span>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.</span>no autonomous differential inclusions, time-periodic right-hand side, almost periodic functions, limit of the maximum average.неавтономное дифференциальное включениепериодическая по времени правая частьпочти периодическая функцияпредел максимального среднего