Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 23, pp. 1-10.
Title: Oscillation of solutions for odd-order
neutral functional differential equations
Author: Tuncay Candan (Nigde Univ., Nigde, Turkey)
Abstract:
In this article, we establish oscillation criteria
for all solutions to the neutral differential equations
$$
[x(t)\pm ax(t\pm h)\pm bx(t\pm g)]^{(n)}
=p\int_c^d x(t-\xi)d\xi+q\int_c^d x(t+\xi)d\xi,
$$
where $n$ is odd, $h$, $g$, $a$ and $b$ are nonnegative
constants. We consider 10 of the 16 possible combinations
of +/- signs, and give some examples to illustrate our results.
Submitted December 9, 2009. Published February 04, 2010.
Math Subject Classifications: 34K11, 34K40.
Key Words: Neutral differential equations; oscillation of solutions;
distributed deviating arguments.