PageHeader : Funkcialaj Ekvacioj, 12 (1969), 251-268 Title : Determination of Stable Domains for Bounded Title : Solutions of Simplified Equations AuthorInfo : By Masahiro IWANO AuthorInfo : (Tokyo Metropolitan University) AuthorInfo : Dedicated to Professor Tokui Sat? on His sixty-third Birthday section : Introduction subsection : 1. Assumptions. subsection : 2. Review of Known Results. subsection : 3. Stable Domains. subsection : 4. Main Result. section : I. Proof of Fundamental Lemma. subsection : 5. Functions $\omega(\varphi)$ and $f(\varphi)$ . subsection : 6. Determination of the Curve $\Gamma_{x_{1}}$ . subsection : $\backslash 7$ . Proof of Fundamental Lemma (Part I). Assertion (i). By definition, if $x\in\Gamma^{\prime}$ , we have subsection : 8. Proof of Fundamental Lemma (Part II). subsection : 9. Fundamental $\bm{\mathrm{I}}\bm{\mathrm{n}}\bm{\mathrm{e}}\bm{\mathrm{q}}\bm{\mathrm{u}}\bm{\mathrm{a}}\bm{1}\bm{\mathrm{i}}\bm{\mathrm{t}}\bm{\mathrm{i}}\bm{\mathrm{e}}\bm{\mathrm{s}}_{\wedge}$ section : II. Proof of Main Theorem. subsection : 10. Preliminary Transformation. subsection : 11. Main Problem and Proof of Main Theorem. subsection : 12. Solution of Main Problem. section : References