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.
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页码：215 / 223
页数：8
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