Asymptotic representations are obtained for a broad class of monotone solutions of nonautonomous two-term second-order ordinary differential equations close in a certain sense to linear equations.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1346–1364, October, 2012.
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Evtukhov, V.M. Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations. Ukr Math J 64, 1531–1552 (2013). https://doi.org/10.1007/s11253-013-0733-6
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DOI: https://doi.org/10.1007/s11253-013-0733-6