On the stability of a class of cosine type functional equations

J. M. Rassias, Driss Zeglami, A. Charifi

Abstract


The aim of this paper is to investigate the stability problem for the pexiderized trigonometric functional equation
    f₁(xy)+f₂(xσ(y))=2g₁(x)g₂(y),  x,y∈G,  
where G is an arbitrary group, f₁,f₂,g₁ and g₂ are complex valued functions on G and σ is an involution of G. Results of this paper also can be extended to the setting of monoids (that is, a semigroup with identity) that need not be abelian.

Keywords


stability; Superstability; D'Alembert equation; trigonometric functional equation

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DOI: http://dx.doi.org/10.5269/bspm.v37i2.29563



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