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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 900–910
DOI: https://doi.org/10.4213/mzm10548 (Mi mzm10548) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space

L. I. Sazonovab

a Southern Federal University, Rostov-on-Don
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
Full-text PDF (417 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10548
Abstract: 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.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1 1398 2014 К
This work was supported by the State Research Project (contract no. 1 1398 2014 K).
Received: 01.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 2, Pages 310–319
DOI: https://doi.org/10.1134/S0001434617010357
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: L. I. Sazonov, “On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space”, Mat. Zametki, 100:6 (2016), 900–910; Math. Notes, 101:2 (2017), 310–319
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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