Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 143, pp. 1-9.

Title: Oscillation results for even-order quasilinear neutral
       functional differential equations

Authors: Blanka Baculikova (Technical Univ. of Kosice, Slovakia)
         Jozef Dzurina  (Technical Univ. of Kosice, Slovakia)
	 Tongxing Li (Shandong Univ., Jinan, China)

Abstract: 
 In this article, we use the Riccati transformation technique
 and some inequalities, to establish  oscillation theorems
 for all solutions to even-order quasilinear neutral differential
 equation
 $$
 \Big(\big[\big(x(t)+p(t)x(\tau(t))\big)^{(n-1)}\big]^\gamma\Big)'
 +q(t)x^\gamma\big(\sigma(t)\big)=0,\quad t\geq t_0.
 $$
 Our main results are illustrated with examples.

Submitted April 28, 2011. Published November 01, 2011.
Math Subject Classifications: 34K11, 34C10.
Key Words: Oscillation; Neutral differential equation; even-order.