%0 Journal Article
%T Oscillation of solutions to third-order half-linear neutral differential equations
%A Jozef Dzurina
%A Ethiraju Thandapani
%A Sivaraj Tamilvanan
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article, we study the oscillation of solutions to the third-order neutral differential equations $$ Big(a(t)ig([x(t)pm p(t)x(delta(t))]''ig)^alphaBig)' + q(t)x^alpha( au(t)) = 0. $$ 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.
%K Third-order neutral differential equation
%K Riccati transformation
%K oscillation of solutions
%U http://ejde.math.txstate.edu/Volumes/2012/29/abstr.html