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Matematicheskie Zametki, 1971, Volume 9, Issue 6, Pages 651–662 (Mi mzm7050)  
Periodic solutions of evolutionary equations

P. P. Zabreikoa, S. O. Stryginab

a Voronezh State Pedagogical Institute
b Yaroslavl State University
Full-text PDF (743 kB)
Abstract: An analog of L. Cesari's method for a very general class of evolutionary equations is investigated. A result is proved concerning the coincidence of rotation of a Cesari field with the rotation of a translation operator (on boundaries of naturally corresponding regions), and Galerkin's method of obtaining periodic solutions is studied. The results obtained are new for ordinary differential equations.
Received: 24.12.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 6, Pages 378–384
DOI: https://doi.org/10.1007/BF01094579
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. P. Zabreiko, S. O. Strygina, “Periodic solutions of evolutionary equations”, Mat. Zametki, 9:6 (1971), 651–662; Math. Notes, 9:6 (1971), 378–384
Citation in format AMSBIB
\Bibitem{ZabStr71}
\by P.~P.~Zabreiko, S.~O.~Strygina
\paper Periodic solutions of evolutionary equations
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 6
\pages 651--662
\mathnet{http://mi.mathnet.ru/mzm7050}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=287088}
\zmath{https://zbmath.org/?q=an:0234.34076|0228.34039}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 6
\pages 378--384
\crossref{https://doi.org/10.1007/BF01094579}
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