Distribution of zeros of solutions of first order delay differential equations

Abstract

The paper gives two estimates of the distance between adjacent zeros of solutions of the first-order delay differential equations x′(t)+p(t)x(t−τ)=0 in the case when p(t)≥0 and $$\int_{t - \tau }^t {p\left( s \right) } ds - \frac{1}{e}$$ oscillates or p(t) itself oscillates.