New oscillation criteria for first order delay differential equations in a critical state

In this work, some new oscillation criteria are obtained for the first order delay differential equation x′(t)+1τext−τ+f(t,xt−τ1,…,xt−τs)=0,t≥0, where τ,τ1,τ2,…,τsτ,τ1,τ2,…,τs are nonnegative numbers, ff is a function. Our results improve the known results from the literature, and an example of an application is given at the end.