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

Binggen Zhang; Bo Yang

doi:10.4171/zaa/772

JournalszaaVol. 16, No. 2pp. 451–462

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

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

where $p (t) \geq 0$ and $n \geq 1$ 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