ON THE SUPERSTABILITY OF THE PEXIDER TYPE GENERALIZED TRIGONOMETRIC FUNCTIONAL EQUATIONS

作     者：Driss ZEGLAMI Ahmed CHARIFI Samir KABBAJ 

作者机构：Department of MathematicsE.N.S.A.M Moulay Ismail University Department of MathematicsFaculty of SciencesIbn Tofail University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2014年第34卷第6期

页      面：1749-1760页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：superstability generalized Pexider d'Alembert equation Wilson's functional equation group of morphisms 

摘      要：The aim of this paper is to investigate the superstability problem for the pexiderized trigonometric functional equation∑ v∈Φ∫Kf（xkv（y）k^-1）dwK（k）= Φ g（x）h（y）, x, y ∈ G,where G is any topological group, 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, h are continuous complex-valued ***, we have generalized the results of stability for d＇Alembert＇s and Wilson＇s equations by R. Badora, J. Baker, B. Bouikhalene, P. Gavruta, S. Kabbaj, Pl. Kannappan, G. ***, J.M. Rassias, A. Roukbi, L. Sz′ekelyhidi, D. Zeglami, etc.