On the Stability of Functional Equations and a Problem of Ulam

被引：0
作者：
Themistocles M. Rassias
机构：
[1] National Technical University of Athens,Department of Mathematics
[2] Zografou Campus,undefined
来源：
Acta Applicandae Mathematica | 2000年 / 62卷
关键词：
stability; functional equations; Cauchy difference; semigroup; inequalities; approximate;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the stability of functional equations that has its origins with S. M. Ulam, who posed the fundamental problem 60 years ago and with D. H. Hyers, who gave the first significant partial solution in 1941. In particular, during the last two decades, the notion of stability of functional equations has evolved into an area of continuing research from both pure and applied viewpoints. Both classical results and current research are presented in a unified and self-contained fashion. In addition, related problems are investigated. Some of the applications deal with nonlinear equations in Banach spaces and complementarity theory.
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页码：23 / 130
页数：107
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