The evolution of limits of maximal means for periodic functions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 75-79
For the periodic function depending on the time and base variables and differential inclusion with constant right hand the two-sided estimates of the limit of maximal mean is established. The existence of the theorem of limit of maximal mean is proved.
Keywords:
limit of maximal mean, differential inclusion, double-ended estimates.
@article{VSGU_2011_2_a7,
author = {O. P. Filatov},
title = {The evolution of limits of maximal means for periodic functions},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {75--79},
year = {2011},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a7/}
}
O. P. Filatov. The evolution of limits of maximal means for periodic functions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 75-79. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a7/
[1] Blagodatskikh V. I., Filippov A. F., “Differentsialnye vklyucheniya i optimalnoe upravlenie”, Trudy Matematicheskogo instituta AN SSSR, 169, 1985, 194–252 | MR | Zbl
[2] Filatov O. P., “Suschestvovanie predelov maksimalnykh srednikh”, Matematicheskie zametki, 67:3 (2000), 433–440 | DOI | MR | Zbl
[3] Filatov O. P., “O suschestvovanii usrednenogo differentsialnogo vklyucheniya”, Diferentsialnye uravneniya, 25:25 (1989), 2118–2127 | MR