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The limits of maximal means and no autonomous differentialinclusions
- Authors: Filatov O.1
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Affiliations:
- Самарский государственный университет
- Issue: Vol 21, No 10 (2015)
- Pages: 47-51
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4449
- DOI: https://doi.org/10.18287/2541-7525-2015-21-10-47-51
- ID: 4449
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Abstract
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.
About the authors
O.P. Filatov
Самарский государственный университет
Author for correspondence.
Email: morenov.sv@ssau.ru
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