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.

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The question of the existence of periodic solutions of linear ordinary differential equations with high-frequency summands in a Banach space is studied.
Keywords: ordinary differential equation, Banach space, high-frequency coefficient, rapidly oscillating solution.
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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