PageHeader : Funkcialaj Ekvacioj, 33 (1990) 405-425 Title : On the Equation $x^{\prime}(t)=f(x(x(t)))$ AuthorInfo : By AuthorInfo : WANG Ke* AuthorInfo : (Northeast Normal University, People's Republic of China) section : 1. Introduction section : 2. Strong solution and maximal strong solution section : 3. Existence of strong solutions and their behaviours for increasing $f$ section : Lemma 9. $x(t)\geq t^{*}for$ t $\leq\sigma$ . section : 4. Existence of strong solutions and their behaviours for decreasing $f$ section : 5. Examples section : References