THE STABILITY OF CERTAIN FUNCTIONAL-EQUATIONS

被引：113

作者：

BAKER, JA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 112卷 / 03期

关键词：

FUNCTIONAL EQUATIONS; STABILITY; FIXED POINTS;

D O I：

10.2307/2048695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove the stability (in the sense of Ulam) of the functional equation: f(t) = alpha(t) + beta(t)f(phi(t)), where alpha and beta are given complex valued functions defined on a nonempty set S such that sup{\beta(t)\:t is-an-element-of S} < 1 and phi is a given mapping of S into itself.

引用

页码：729 / 732

页数：4