Oscillation of first order linear delay differential equation with variable coefficients

Abstract

In this article the authors established sufficient condition for the oscillation of the first order linear delay differential equation x’(t)+p(t)x(t-τ)=0 (*) wherep (t) ε c ([t0,∞),R+), R+ = [0, ∞), τ is a positive constant, with several variable delays. Some interesting examples are provided to illustrate the results.