The asymptotic of solutions for a class of delay differential equations

摘要

We study the asymptotic properties of solutions of the differential equation chi (t) = -c(t)[chi(t) - Lchi(tau(t))] with a positive continuous function c(t), a nonzero real constant L and unbounded lag. We establish conditions under which each solution of this equation approaches a solution of the auxiliary functional equation v(t) = Lv(tau(t)). Moreover, we investigate some modifications of the studied equation and give comparisons with the known results. [References: 16]