On the distance between adjacent zeros of solutions of first order differential equations with distributed delays

摘要

We estimate the distance between adjacent zeros of all solutions of the first order differential equation [ x'(t)+int_{h(t)}^{t}x(s)d_sR(t,s)=0. ] This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones.