Asymptotic behavior of an odd-order delay differential equation

Kiguradze IT, Chanturia TA: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Kluwer Academic, Dordrecht; 1993. Translated from the 1985 Russian original Agarwal RP, Aktas MF, Tiryaki A: On oscillation criteria for third order nonlinear delay differential equations. Arch. Math. 2009, 45: 1-18. Agarwal RP, Grace SR, O’Regan D: Oscillation Theory for Difference and Functional Differential Equations. Kluwer Academic, Dordrecht; 2000. Agarwal RP, Grace SR, O’Regan D: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. Kluwer Academic, Dordrecht; 2002. Baculíková B, Džurina J: Comparison theorems for the third-order delay trinomial differential equations. Adv. Differ. Equ. 2010., 2010: Article ID 160761 Baculíková B, Džurina J, Rogovchenko YuV: Oscillation of third order trinomial delay differential equations. Appl. Math. Comput. 2012, 218: 7023-7033. 10.1016/j.amc.2011.12.049 Džurina J, Komariková R: Asymptotic properties of third-order delay trinomial differential equations. Abstr. Appl. Anal. 2011., 2011: Article ID 730128 Džurina J, Kotorová R: Properties of the third order trinomial differential equations with delay argument. Nonlinear Anal. TMA 2009, 71: 1995-2002. 10.1016/j.na.2009.01.070 Grace SR, Agarwal RP, Pavani R, Thandapani E: On the oscillation of certain third order nonlinear functional differential equations. Appl. Math. Comput. 2008, 202: 102-112. 10.1016/j.amc.2008.01.025 Li, T, Rogovchenko, YuV, Tang, S: Oscillation of second-order nonlinear differential equations with damping. Math. Slovaca (2014, in press) Liu S, Zhang Q, Yu Y: Oscillation of even-order half-linear functional differential equations with damping. Comput. Math. Appl. 2011, 61: 2191-2196. 10.1016/j.camwa.2010.09.011 Philos ChG: Oscillation theorems for linear differential equations of second order. Arch. Math. 1989, 53: 482-492. 10.1007/BF01324723 Rogovchenko YuV, Tuncay F: Oscillation criteria for second-order nonlinear differential equations with damping. Nonlinear Anal. 2008, 69: 208-221. 10.1016/j.na.2007.05.012 Tiryaki A, Aktas MF: Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping. J. Math. Anal. Appl. 2007, 325: 54-68. 10.1016/j.jmaa.2006.01.001 Werbowski J: Oscillations of first-order differential inequalities with deviating arguments. Ann. Mat. Pura Appl. 1985, 140: 383-392. 10.1007/BF01776858 Zhang C, Agarwal RP, Li T: Oscillation and asymptotic behavior of higher-order delay differential equations with p -Laplacian like operators. J. Math. Anal. Appl. 2014, 409: 1093-1106. 10.1016/j.jmaa.2013.07.066 Zhang C, Li T, Sun B, Thandapani E: On the oscillation of higher-order half-linear delay differential equations. Appl. Math. Lett. 2011, 24: 1618-1621. 10.1016/j.aml.2011.04.015 Zhang Q, Liu S, Gao L: Oscillation criteria for even-order half-linear functional differential equations with damping. Appl. Math. Lett. 2011, 24: 1709-1715. 10.1016/j.aml.2011.04.025 Zhang S, Wang Q: Oscillation of second-order nonlinear neutral dynamic equations on time scales. Appl. Math. Comput. 2010, 216: 2837-2848. 10.1016/j.amc.2010.03.134 Hale JK: Theory of Functional Differential Equations. Springer, New York; 1977.