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.