PageHeader : Funkcialaj Ekvacioj, 44 (2001) 391-440
Title : Analytical Simplification of a Nonlinear 2-System
Title : with Simplified Equations Involving Infinitely Many Terms
AuthorInfo : By
AuthorInfo : Masahiro IWANO
AuthorInfo : (Chuo University, Japan)
AuthorInfo : To the memory of my brothers
section : ��1. Introduction
section : ��2. Formal transformation of the first kind
section : ��3. Formal transformation of the second kind
section : ��4. New arrangement of the formal double power series (3.10) in a single
section : ��5. Determinations of the coefficient functions $R_{j}(x, \zeta)$ and $S_{j}(x,z)$
section : ��6. Truncated differential equations
section : ��7. Modified simplified equations and stable domains
section : ��8. Modified truncated equations and existence theorem, Part I. (Case of $\gamma\geq 0$ )
section : ��9. Modified truncated equations and existence theorem, Part II.
section : ��10. Stable domains of the function $\eta(x)^{N}/(x\zeta(x))$
section : ��11. Evaluation of the integrals of the kernel functions
section : ��12. Sketch of the proof of the existence theorems
section : ��13. Domain of holomorphy of the solution
section : References