Necessary and Sufficient Conditions of Oscillation in First Order Neutral Delay Differential Equations

Abstract EN

We are concerned with oscillation of the first order neutral delay differential equation [ x ( t ) − p x ( t − τ ) ] ′ + q x ( t − σ ) = 0 with constant coefficients, and we obtain some necessary and sufficient conditions of oscillation for all the solutions in respective cases 0 < p < 1 and p > 1 .