On the distribution of zeros of solutions of first order delay differential equations

This paper contains new estimates for the distance between adjacent zeros of solutions of the first order delay differential equation x′(t)+p(t)x(t−τ)=0x′(t)+p(t)x(t−τ)=0 where pp is a nonnegative continuous function. Our results are new and improve some known criteria. Illustrative examples are given to show the strength of some obtained results over the known ones.