PageHeader : Funkcialaj Ekvacioj, 27 (1984), 367-391 Title : A General Solution of a Nonlinear 2-System without Poincare' $\mathrm{s}$ Title : Condition at an Irregular Singular Point AuthorInfo : By AuthorInfo : Setsuji YOSHIDA AuthorInfo : (Kobe University, Japan) section : 1. Motivation and Statement of Main Results section : 2. Proof of Theorem 1 section : 3. Fundamental Lemma for truncated differential systems section : 4. Sectorial domain S and path $\Gamma(x_{0})$ of integeration subsection : 4.1. Determination of constants $\kappa$ and $\Omega$ . subsection : 4.2. Sectional domain $\mathscr{S}$ . subsection : 4.3. Path $\Gamma(x_{0})$ of integration. subsection : 4.4. section : 5. Stable domain 9 subsection : 5.1. Definition of $\mathscr{D}$ . subsection : 5.2. Stability. section : 6. Proof of Fundamental Lemma under assumption (a) section : 7. Proof of Fundamental Lemma under assumption (b) subsection : 7.1. Path $\Gamma(x_{0})$ of integration. subsection : 7.2. Stable domain. subsection : 7.3. Proof of Fundamental Lemma under assumption (b). section : Appendix. section : References