Yevtukhov, Viacheslav M.Євтухов, В'ячеслав МихайловичSharai, Nataliia V.Шарай, Наталія Вікторівна2019-11-272019-11-272019Memoirs on Differential Equations and Mathematical Physicshttps://dspace.onu.edu.ua/handle/123456789/26305We obtain the existence conditions and asymptotic, as t I w (w < +oo), representations of one class of solutions of a binomial nonautonomous third-order differential equation with rapidly varying nonlinearity and their derivatives of the first and second order.ennonlinear third-order differential equationrapidly changing functionsasymptotic behavior of Pw(Yo, ho)-solutionsAsymptotic behaviour of solutions of third-order differential equations with rapidly varying nonlinearitiesArticle