@article{MZM_2016_100_6_a11,
author = {L. I. Sazonov},
title = {On the {Existence} of {Periodic} {Solutions} of {Ordinary} {Differential} {Equations} with {High-Frequency} {Summands} in a {Banach} {Space}},
journal = {Matemati\v{c}eskie zametki},
pages = {900--910},
year = {2016},
volume = {100},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a11/}
}
TY - JOUR AU - L. I. Sazonov TI - On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space JO - Matematičeskie zametki PY - 2016 SP - 900 EP - 910 VL - 100 IS - 6 UR - http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a11/ LA - ru ID - MZM_2016_100_6_a11 ER -
L. I. Sazonov. On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space. Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 900-910. http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a11/
[1] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR | Zbl
[2] I. B. Simonenko, “Obosnovanie metoda osredneniya dlya abstraktnykh parabolicheskikh uravnenii”, Matem. sb., 81 (123):1 (1970), 53–61 | MR | Zbl
[3] V. B. Levenshtam, “Metod pogransloya i effektivnoe postroenie starshikh priblizhenii metoda osredneniya”, Izv. vuzov. Matem., 1978, no. 3, 48–55 | MR | Zbl
[4] Do Ngok Tkhan, V. B. Levenshtam, “Asimptoticheskoe integrirovanie sistemy differentsialnykh uravnenii s bolshim parametrom v kriticheskom sluchae”, Zh. vychisl. matem. i matem. fiz., 51:6 (2011), 1043–1055 | MR
[5] V. V. Gusachenko, E. A. Ilicheva, V. B. Levenshtam, “Lineinaya parabolicheskaya zadacha. Vysokochastotnaya asimptotika v kriticheskom sluchae”, Zh. vychisl. matem. i matem. fiz., 53:7 (2013), 1067–1081 | DOI | MR | Zbl