Volume no :22, Issue no: 1, July

Journal of Mathematical Sciences: Advances and Applications

HYERS-ULAM STABILITY OF WILSON'S FUNCTIONAL EQUATION

Author's: A. ROUKBI, D. ZEGLAMI and S. KABBAJ
Pages: [19] - [26]
Received Date: March 27, 2013
Submitted by:

Abstract

We study the Hyers-Ulam stability problem for the Wilson’s equation



and the superstability of the d’Alembert’s equation



where G is a group; are complex valued functions; and is an involution of G without imposing the Kannappan’s condition to the function f.

Keywords

Hyers-Ulam stability, superstability, d’Alembert equation, Wilson’s functional equation.