Hyers–Ulam stability of generalized Wilson’s and d’Alembert’s functional equations

被引：6

作者：

Zeglami D. ^{[1
]}

Roukbi A. ^{[1
]}

Kabbaj S. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Sciences, IBN Tofail University, BP: 14000, Kenitra

来源：

Afrika Matematika | 2015年 / 26卷 / 1-2期

关键词：

Wilson’s functional equation; D’Alembert’s equation; Group of morphisms; Hyers–Ulam stability; Superstability;

D O I：

10.1007/s13370-013-0199-6

中图分类号：

学科分类号：

摘要：

We study the Hyers–Ulam stability problem for the generalized Wilson’s equation (Formula presented.) where G is an arbitrary locally compact group, not necessarily abelian, K is a compact subgroup of G, ωK is the normalized Haar measure of K Φ is a finite group of K-invariant morphisms of G and f,g: G ⟶ C are continuous complex-valued functions. We dont impose that f satisfies the Kannappan type condition. In addition, superstability problem for some related functional equations are considered. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：215 / 223

页数：8