On the existence and uniqueness of locally analytic invertible solutions of a system of nonlinear functional equations

被引：6
作者：
Kazantzis, N [1 ]
机构：
[1] Worcester Polytech Inst, Dept Chem Engn, Worcester, MA 01609 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 146卷 / 02期
关键词：
nonlinear functional equations; power series; non-resonance conditions; Smajdor's theorem; analytic solutions; locally invertible solutions;
D O I：
10.1016/S0377-0427(02)00362-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present research work, a set of necessary and sufficient conditions is derived, under which a rather broad class of nonlinear functional equations admits a unique locally analytic and invertible solution which can be easily computed with the aid of a symbolic soft-ware package. The main results naturally reproduce the solution of the linear problem, where the system of ftmctional equations to be solved becomes equivalent to a Lyapunov matrix equation. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：301 / 308
页数：8
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