# Equivalence of Oscillation of a Class of Neutral Differential Equations and Ordinary Differential Equations

### Binggen Zhang

Ocean University of Qingdao, China### Bo Yang

Kennesaw State University, United States

## Abstract

In this paper; we establish the equivalence of the oscillation of the two equations

$(x(t) - x(t - r))^{(n)} + p(t) x(t - \sigma) = 0 \ \ \ \mathrm {and} \ \ \ x^{(n+1)}(t) + \frac{p(t)}{r} x(t) = 0$

where $p(t) ≥ 0$ and $n ≥ 1$ is odd, from which we obtain some new oscillation conditions and comparison theorems for the first of these equations.

## Cite this article

Binggen Zhang, Bo Yang, Equivalence of Oscillation of a Class of Neutral Differential Equations and Ordinary Differential Equations. Z. Anal. Anwend. 16 (1997), no. 2, pp. 451–462

DOI 10.4171/ZAA/772