PageHeader : Funkcialaj Ekvacioj, 9 (1966), 71-81 Title : On the Diff.erential Equation Title : $(x+\epsilon u)du/dx+q(x)u-r(x)=0$ . AuthorInfo : By Yasutaka SIBUYA1) and Ken-iti TAKAHASI2) AuthorInfo : (University of Minnesota and University of Agriculture and Technology of Tokyo) section : Chapter I. Introduction. subsection : 1. Main Problem. subsection : 2. Solution for Case $\epsilon=0$ . subsection : 3. Main Theorems. subsection : 4. Remarks. section : Chapter II. Proof of Theorem 1. subsection : 5. Lemmas. subsection : 6. Proof of Lemma 1. subsection : 7. Proof of Lemma 2. subsection : 8. Construction of a Formal Solution of Equation (5. 3). subsection : 9. Estimates for the Coefficients $x_{m}(\xi)$ . subsection : 10. Construction of a Majorant. section : Chapter III. Proof of Theorem 2. subsection : 11. Properties of $x_{1}(\xi)$ . subsection : 12. Case $bw(1)$ . section : References