We consider a generalization of the Bogolyubov theorem to differential equations with Perron-integrable right-hand side.
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Translated from Neliniini Kolyvannya, Vol. 11, No. 3, pp. 387–395, July–September, 2008.
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Plotnikov, V.A., Romanyuk, A.V. Averaging of differential equations with Perron-integrable right-hand side. Nonlinear Oscill 11, 407–415 (2008). https://doi.org/10.1007/s11072-009-0039-7
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DOI: https://doi.org/10.1007/s11072-009-0039-7