International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 4, Pages 245-249
doi:10.1155/S0161171202004180
On the oscillation of first-order neutral delay differential equations
with real coefficients
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 30010, Madinah Munawarah, Saudi Arabia
Received 2 February 1999; Revised 18 November 1999
Copyright © 2002 Ibrahim R. Al-Amri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We prove sufficient conditions for the oscillation of all
solutions of a scalar first-order neutral delay differential
equation x˙(t)−cx˙(t−τ)+∑i=1npix(t−σi)=0 for all 0<c<1, τ, σi>0, and
pi∈ℝ, i=1,2,…,n.