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
Ibrahim R. Al-Amri
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 30010, Madinah Munawarah, Saudi Arabia
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.