We establish asymptotic representations for the solutions of one class of nonlinear differential equations of the second order with rapidly and regularly varying nonlinearities.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 9, pp. 1285–1293, September, 2015.
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Shlepakov, O.R. Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order. Ukr Math J 67, 1447–1456 (2016). https://doi.org/10.1007/s11253-016-1164-y
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DOI: https://doi.org/10.1007/s11253-016-1164-y