We study the asymptotic behavior of solutions for a certain class of third-order nonlinear nonautonomous differential equations.
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I. T. Kiguradze and T. A. Chanturiya, Asymptotic Properties of the Solutions of Nonautonomous Ordinary Differential Equations [in Russian], Nauka, Moscow (1990).
V. M. Evtukhov, “On the solutions of real nonautonomous systems of quasilinear differential equations vanishing at infinity,” Differents. Uravn., 39, No. 4, 433–444 (2003).
A. A. Stekhun, “Asymptotic representations of the solutions of third-order nonlinear differential equations vanishing in a neighborhood of a singular point,” Visn. Odes. Nats. Univ., Ser. Mat. Mekh., 13, 95–111 (2008).
A. O. Stekhun, “Asymptotic behavior of the solutions of one class of third-order ordinary differential equations,” Nelin. Kolyv., 16, No. 2, 246–260 (2013); English translation: J. Math. Sci., 198, No. 3, 336–350 (2014).
N. V. Sharai, “Asymptotic behavior of the solutions of third-order ordinary differential equations close to linear equations,” Visn. Odes. Nats. Univ., Ser. Mat. Mekh., 15, Issue 18, 88–101 (2010).
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Translated from Neliniini Kolyvannya, Vol. 18, No. 1, pp. 133–144, January–March, 2015.
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Sharai, N.V., Shinkarenko, V.N. Asymptotic Representations for the Solutions of Third-Order Nonlinear Differential Equations. J Math Sci 215, 408–420 (2016). https://doi.org/10.1007/s10958-016-2847-5
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DOI: https://doi.org/10.1007/s10958-016-2847-5