Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term

References (15)

1. R.P. Agarwal, S.R. Grace, and D. O’Regan, Oscillation theory for second order linear, half-linear, superlinear and sublinear dynamic equations, Springer Science & Business Media, 2002
2. R.P. Agarwal, S.R. Grace, and P.J.Y. Wong, Oscillation theorems for certain higher order nonlinear functional differential equations, Appl. Anal. Discr. Math. 2, 1–30, 2008
3. R.P. Agarwal, M. Bohner, T. Li, and C. Zhang, A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput. 225, 787–794, 2013
4. R.P. Agarwal, M. Bohner, T. Li, and C. Zhang, Oscillation of second order differential equations with a sublinear neutral term, Carpathian J. Math. 30 (1), 1–6, 2014
5. J.G. Dong, Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments, Comput. Math. Appl. 59, 3710 – 3717, 2010
6. S.R. Grace and B.S. Lalli, Oscillation of nonlinear second order neutral differential equations, Rat. Math. 3, 77 – 84, 1987
7. S.R. Grace, J.R. Graef, and M.A. El-Beltagy, On the oscillation of third order neutral delay dynamic equations on time scales, Comput. Math. Appl. 63 (4), 775–782, 2012
8. S.R. Grace and I. Jadlovská, Oscillation Criteria for second-order neutral damped differential equations with delay argument, in: Dynamical Systems - Analytical and Computational Techniques, InTech, 2017
9. S.R. Grace,Oscillatory behavior of second-order nonlinear differential equations with a nonpositive neutral term, Mediterr. J. Math. 14 (6), Art. 229, 2017
10. G.H. Hardy, I.E. Littlewood, and G. Polya, Inequalities, University Press, Cambridge, 1959
11. B. Karpuz, O. Ocalan, and S. Ozturk, Comparison theorems on the oscillation and asymptotic behaviour of higher-order neutral differential equations, Glasgow Math. J. 52 (1), 107–114, 2010
12. I.T. Kiguradze, On the oscillation of solutions of the Eq. $d^mu/dt^m+a(t)|u|^n {\rm sgn}u = 0$, Mat. Sb. 65, 172–187, 1964 (in Russian)
13. T. Li, Z. Han, C. Zhang, and H. Li, Oscillation criteria for second-order superlinear neutral differential equations, Abstr. Appl. Anal. 2011, 2011
14. T. Li, Yu.V. Rogovchenko, and C. Zhang, Oscillation results for second-order nonlinear neutral differential equations, Adv. Differ. Equ. 2013, 1 – 13, 2013
15. Q. Li, R. Wang, F. Chen, and T. Li, Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients, Adv. Differ. Equ. 2015, 1–15, 2015