PageHeader : Funkcialaj Ekvacioj, 42 (1999) 165-199 Title : Analytical Simplification of a 2-System Title : of Nonlinear Equations with a Title : Degenerated Irregular Type Singularity AuthorInfo : By AuthorInfo : Masahiro IWANO AuthorInfo : (Chuo University, Japan) section : 1. Introduction section : 2. Assumptions and main results section : 3. Proof of Theorem 1 section : 4. Determination of $\alpha_{0}(v)$ and $\alpha_{1}(v)$ section : 5. Determination of $p_{0}(x, v)$ and $q_{0}(x, v)$ section : 6. Determination of the coefficients $p_{1}(x, v)$ and $q_{1}(x, v)$ section : 7. Determination of the coefficients $p_{j}(x, $ v) and $q_{j}(x, $ v) for j $\geq 2$ section : 8. Reduction of the v-equation with $\gamma\neq 0$ section : 9. Truncated differential equations section : 10. Stable domains section : 11. Fixed point technique subsection : 1o. Family and mapping. subsection : 2o. Estimate of integral section : References