New results on oscillation for delay differential equations with piecewise constant argument

We introduce a new technique to obtain some new oscillation criteria for the oscillating coefficients delay differential equation with piecewise constant argument of the form x′(t) + a(t)x(t) + b(t)x({t ? k}) = 0, where a(t) and b(t) are right continuous functions on ?k, ∞), k is a positive integer, and ·] denotes the greatest integer function. Our results improve and generalize the known results in the literature. Some examples are also given to demonstrate the advantage of our results.