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Izvestiya: Mathematics, 2018, Volume 82, Issue 6, Pages 1077–1107
DOI: https://doi.org/10.1070/IM8662 (Mi im8662) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A new approach to the question of existence of periodic solutions for functional differential equations of point type

L. A. Beklaryan

Central Economics and Mathematics Institute Russian Academy of Sciences, Moscow
English version PDF (452 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM8662
Abstract: This paper is devoted to a new type of sufficient conditions for the existence of periodic solutions of ordinary differential equations and functional differential equations of point type. These conditions are based on the use of asymptotic properties of solutions of differential equations that have not been used in the study of periodic solutions because of considerations restricting such equations to an interval equal to the period.
Keywords: differential equations, periodic solutions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00110
This paper was written with the support of the Russian Foundation for Basic Research (grant no. 16-01-00110).
Received: 08.02.2017
Revised: 02.04.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 6, Pages 3–36
DOI: https://doi.org/10.4213/im8662
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34K13
Language: English
Original paper language: Russian
Citation: L. A. Beklaryan, “A new approach to the question of existence of periodic solutions for functional differential equations of point type”, Izv. RAN. Ser. Mat., 82:6 (2018), 3–36; Izv. Math., 82:6 (2018), 1077–1107
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8662
  • https://www.mathnet.ru/eng/im/v82/i6/p3
    • This publication is cited in the following 4 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:355
    Russian version PDF:39
    English version PDF:12
    References:43
    First page:20
     
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