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Izvestiya: Mathematics, 2017, Volume 81, Issue 6, Pages 1234–1252
DOI: https://doi.org/10.1070/IM8298 (Mi im8298) 		 
This article is cited in 1 scientific paper (total in 1 paper)

High-frequency asymptotics of solutions of ODE in a Banach space

L. I. Sazonovab

a Southern Federal University, Rostov-on-Don
b South Mathematical Institute of VSC RAS
English version PDF (289 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM8298
Abstract: We construct and justify high-frequency asymptotic expansions of solutions for some class of linear ODE in a Banach space. In particular, we obtain new results in the case when the averaged ODE are degenerate.
Keywords: periodic solution, differential equation, averaging, homogenization.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1 1398 2014 K
This paper was written within the framework of the project part of a state request in the sphere of scientific activity (task no. 1 1398 2014 K).
Received: 17.09.2014
Revised: 09.09.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 6, Pages 180–198
DOI: https://doi.org/10.4213/im8298
Bibliographic databases:
Document Type: Article
UDC: 517.928
MSC: 34G10, 34K33, 35B25, 35C20, 35K10, 47D06
Language: English
Original paper language: Russian
Citation: L. I. Sazonov, “High-frequency asymptotics of solutions of ODE in a Banach space”, Izv. RAN. Ser. Mat., 81:6 (2017), 180–198; Izv. Math., 81:6 (2017), 1234–1252
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im8298
  • https://doi.org/10.1070/IM8298
  • https://www.mathnet.ru/eng/im/v81/i6/p180
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:402
    Russian version PDF:42
    English version PDF:27
    References:67
    First page:33
     
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