PageHeader : Funkcialaj Ekvacioj, 34 (1991) 39-84
Title : On a 4-Parameter Family of Bounded Solutions of a
Title : Nonlinear 4-System with an Irregular Type Singularity Not
Title : Satisfying Poincare's Condition
AuthorInfo : By
AuthorInfo : Masahiro IWANO
AuthorInfo : (Chuo University, Japan)
AuthorInfo : Dedicated to Professor Tosihusa Kimura on his sixtieth birthday
section : 1. Introduction
section : Chapter I. Determination of the vector functions $h_{p}(x)$
subsection : 2. Equations on $h_{p}(x)$
subsection : 3. Formal power series solutions for $h_{p}(x)$
subsection : 4. Sectorial domains valid for asymptotic expansions for $h_{p}(x)$
subsection : 5. The functions $\bm{h}_{\bm{p}}\bm{(}\bm{x}\bm{)}$ with $\bm{p}=\bm{(}\bm{0}\bm{,}\bm{p}^{*}\bm{)}$
subsection : 6. The functions $h_{p}(x)$ under Assumption A
section : Chapter II. Proof of Theorem 2
subsection : 7. A truncated differential equation
subsection : 8. Fundamental existence theorem I
subsection : 9. Stability theorem I
subsection : 10. The Sketch of the proof of Proposition 2.2
subsection : 11. The function $\eta^{*}(x, z^{*})$ in Theorem 2'
section : Chapter III. Proof of Theorem 3
subsection : 12. Formal solution under Assumption A
subsection : 13. Equations satisfied by the vectors $\eta_{J}(x, Z^{*}(x))$
subsection : 14. Fundamental existence theorem II
subsection : 15. Stability theorem II
subsection : 16. A brief proof of Proposition 3.2
section : Chapter IV. Proof of Main Theorem
subsection : 17. A truncated differential equation
subsection : 18. Fundamental existence theorem III
subsection : 19. Stability theorem III
section : References