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Matematicheskie Zametki, 1970, Volume 8, Issue 2, Pages 229–234 (Mi mzm9599)  
This article is cited in 4 scientific papers (total in 4 papers)

A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments

V. V. Strygin

Voronezh State University
Full-text PDF (626 kB) Citations (4)
Abstract: A result is proved concerning the existence of periodic solutions of a system with delay; this theorem is new for ordinary differential equations. An integral operator is constructed, acting in the space of continuous functions, whose fixed points are periodic solutions of the system under consideration.
Received: 04.04.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 2, Pages 600–602
DOI: https://doi.org/10.1007/BF01093407
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Strygin, “A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments”, Mat. Zametki, 8:2 (1970), 229–234; Math. Notes, 8:2 (1970), 600–602
Citation in format AMSBIB
\Bibitem{Str70}
\by V.~V.~Strygin
\paper A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 2
\pages 229--234
\mathnet{http://mi.mathnet.ru/mzm9599}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276583}
\zmath{https://zbmath.org/?q=an:0215.15404|0224.34058}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 2
\pages 600--602
\crossref{https://doi.org/10.1007/BF01093407}
Linking options:
  • https://www.mathnet.ru/eng/mzm9599
  • https://www.mathnet.ru/eng/mzm/v8/i2/p229
    • This publication is cited in the following 4 articles:
    1. Kamenskii M.I., Mikhailenko B.A., “Printsip usredneniya i variatsionnyi podkhod v zadache o bifurkatsii periodicheskikh reshenii iz neizolirovannykh polozhenii ravnovesiya usrednennogo uravneniya”, Differentsialnye uravneniya, 48:3 (2012), 326–326  elib
    2. V. B. Levenshtam, G. L. Khatlamadzhiyan, “Extension of averaging theory to differential equations containing rapidly oscillating terms with large amplitudes. The problem of periodic solutions”, Russian Math. (Iz. VUZ), 50:6 (2006), 33–45  mathnet  mathscinet  zmath  elib
    3. Jean Mawhin, International Conference on Differential Equations, 1975, 537  crossref
    4. G.B Gustafson, Klaus Schmitt, “Periodic solutions of hereditary differential systems”, Journal of Differential Equations, 13:3 (1973), 567  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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