Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 23, pp. 1-12.

Title: Oscillation of solutions to odd-order nonlinear neutral
       functional differential equations

Authors: Tongxing Li (Shandong Univ., China)
         Ethiraju Thandapani (Univ. of Madras, Chennai, India)

Abstract: 
 In this note,  we establish some new comparison theorems and
 Philos-type criteria for  oscillation of solutions to the
 odd-order nonlinear neutral functional differential equation
 $$
 [x(t)+p(t)x(\tau(t))]^{(n)}+q(t)x^\alpha(\sigma(t))=0,
 $$
 where $0\leq p(t)\leq p_0<\infty$ and $\alpha\geq1$.
 
Submitted January 13, 2011. Published February 09, 2011.
Math Subject Classifications: 34K11, 34C10.
Key Words: Odd-order; neutral differential equation; oscillation;
           asymptotic behavior.