Numerical method of an evaluation of limits of maximal means for periodic functions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 45-49
The method of approximate calculation of limit of maximal mean for periodic function depending on the time and basic variables and differential inclusion with a constant right hand is offered.
Keywords:
limit of maximal mean, differential inclusion, periodic function.
@article{VSGU_2011_8_a4,
author = {A. N. Lepilov},
title = {Numerical method of an evaluation of limits of maximal means for periodic functions},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {45--49},
year = {2011},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a4/}
}
A. N. Lepilov. Numerical method of an evaluation of limits of maximal means for periodic functions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 45-49. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a4/
[1] Filatov O. P., Usrednenie differentsialnykh vklyuchenii i predely maksimalnykh srednikh, Univers grupp, Samara, 2009, 176 pp.
[2] Filatov O. P., “Vychislenie predelov maksimalnykh srednikh dlya periodicheskikh funktsii”, Vestnik SamGU, 2011, no. 2, 75–79
[3] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, FIZMATLIT, M., 2007, 408 pp.
[4] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989, 432 pp. | MR