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.
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P. P. Zabreiko and S. O. Strigina, “Cesari's equation and Galerkin's method of obtaining periodic solutions to partial differential equations,” Dopovidi AN URSR, Ser. A, No. 7, 583–586 (1970).
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Translated from Matematicheskie Zametki, Vol. 9, No. 6, pp. 651–662, June, 1971.
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Zabreiko, P.P., Strygina, S.O. Periodic solutions of evolutionary equations. Mathematical Notes of the Academy of Sciences of the USSR 9, 378–384 (1971). https://doi.org/10.1007/BF01094579
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DOI: https://doi.org/10.1007/BF01094579