Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 29, pp. 1-9.

Title: Oscillation of solutions to third-order half-linear neutral 
       differential equations

Authors: Jozef Dzurina (Technical Univ. of Kosice, Slovakia)
         Ethiraju Thandapani (Univ. of Madras, Chennai, India)
	 Sivaraj Tamilvanan  (Univ. of Madras, Chennai, India)

Abstract:
 In this article, we study the oscillation of solutions to the
 third-order neutral differential equations
 $$
 \Big(a(t)\big([x(t)\pm p(t)x(\delta(t))]''\big)^\alpha\Big)' +
 q(t)x^\alpha(\tau(t)) = 0.
 $$
 Sufficient conditions are established so that every
 solution is either oscillatory or converges to zero.
 In particular, we extend the results obtain in [1] for $a(t)$
 non-decreasing,  to the non-increasing case.

Submitted November 12, 2011. Published February 21, 2012.
Math Subject Classifications: 34K11, 34C10.
Key Words: Third-order neutral differential equation; 
           Riccati transformation; oscillation of solutions.