© Hindawi Publishing Corp. ON THE OSCILLATION OF FIRST-ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH REAL COEFFICIENTS

We prove sufficient conditions for the oscillation of all solutions of a scalar first-order neutral delay differential equation ẋ(t)−cẋ(t−τ)+∑ni=1pix(t−σi) = 0 for all 0< c < 1, τ,σi> 0, and pi ∈R, i = 1,2,...,n. 2000 Mathematics Subject Classification: 34C15, 34K40. 1. Introduction. Th