ON EXTENSION OF SOLUTIONS OF A SIMULTANEOUS SYSTEM OF ITERATIVE FUNCTIONAL EQUATIONS

被引：0

作者：

Matkowski, Janusz ^{[1
,2
]}

机构：

[1] Univ Zielona Gora, Inst Math Comp Sci & Econometry, Ul Podgorna 50, PL-65246 Zielona Gora, Poland

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

OPUSCULA MATHEMATICA | 2009年 / 29卷 / 04期

关键词：

functional equation; simultaneous system of equations; local solution; extension theorem;

D O I：

10.7494/OpMath.2009.29.4.415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form phi(x) = h (x, phi[f(1) (x)] , . . . , phi[f(m) (x)]) , phi(x) = H (x, phi[F-1 (x)] , . . . , phi[F-n (x)]) , to a global one are presented. Extensions of solutions of functional equations, both in single and in several variables, play important role (cf. for instance [1-3]).

引用

页码：415 / 421

页数：7