EN
We give an alternative view of the results published in the Herzog’s and Lemmert’s paper "On maximal and minimal solutions for \(x'(t) = F(t, x(t), x(h(t)))\), \(x(0) = x_0\)", Comment. Math. XL (2000), 93-102. One can observe that these results can be obtained by classical (elementary) methods, instead of Tarski’s fixed point theorems in partially ordered spaces.