Remark on properties of Kneser solutions for third-order neutral differential equations

In the paper we study properties of positive solutions for the third-order neutral differential equations of the form (r(t)z″(t))′+q(t)y(t)=0, where z(t)=y(t)+p(t)y(τ(t)). The lower and upper estimates of positive decreasing solutions of studied equations are provided that yield the rate of convergence to zero for such solutions.