On the Superstability of a Generalization of the Cosine Equation
D. Zeglami, S. Kabbaj, A. Roukbi
Journal of Advances in Mathematics and Computer Science · pp. 719–734 · Published 9 Dec 2013
10.9734/BJMCS/2014/6548Abstract
The aim of this paper is to investigate the stability problem for the functional equation: ƒ(xy)+ƒ(xσ(y))=2g(x)ƒ(y), x,y∈G (Eg,ƒ) and the superstability of the d'Alembert's equation: ƒ(xy)+ƒ(xσ(y))=2ƒ(x)ƒ(y), x,y∈G (A) under the conditions from which the differences of each equation are bounded by φ(x), ψ(x) and min(φ(x),ψ(y)) where G is an arbitrary group, not necessarily abelian, ƒ, g are complex valued functions, φ, ψ are real valued functions and σ is an involution of G.
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Cited by 11
D. Zeglami, S. Kabbaj · Journal of Advances in Mathematics and Computer Science · 2014
D. Zeglami, A. Roukbi, Themistocles M. Rassias · Springer Optimization and Its Applications · 2014
D. Zeglami, B. Fadli, S. Kabbaj · Aequationes mathematicae · 2015
D. Zeglami · Afrika Matematika · 2014
Driss ZEGLAMI, Ahmed CHARIFI, Samir KABBAJ · Acta Mathematica Scientia · 2014
Showing 5 of 11 known citations — external sources report more than can currently be individually listed.
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