Yevtukhov, Viacheslav M.Sharai, Nataliia V.Євтухов, В'ячеслав МихайловичШарай, Наталія Вікторівна2019-11-272019-11-272019Evtukhov V. M. Asymptotic behaviour of solutions of third-order differential equations with rapidly varying nonlinearities / V. M. Evtukhov, N. V. Sharay // Memoirs on Differential Equations and Mathematical Physics. – 2019. – Vol. 77. – P. 43–57.1512-0015https://dspace.onu.edu.ua/handle/123456789/26305We obtain the existence conditions and asymptotic, as t ↑ ω (ω ≤ +∞), 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)-solutionsArticle