Title of article :
On a Hilbert Go lab-Schinzel type functional equation
Author/Authors :
Tial, Mohamed Department of Mathematics - Faculty of Sciences - IBN TOFAIL University - KENITRA, MOROCCO , Zeglami, Driss Department of Mathematics - E.N.S.A.M, Moulay ISMAIL University - Al Mansour - MEKNES, MOROCCO , Kabbaj, Samir Department of Mathematics - Faculty of Sciences - IBN TOFAIL University - KENITRA, MOROCCO
Abstract :
Let X be a vector space over a eld K of real or complex numbers. We will prove the superstability
of the following Go lab-Schinzel type equation
f(x + g(x)y) = f(x)f(y); x; y 2 X;
where f; g : X ! K are unknown functions (satisfying some assumptions). Then we generalize the
superstability result for this equation with values in the eld of complex numbers to the case of an
arbitrary Hilbert space with the Hadamard product. Our result refers to papers by Chudziak and
Tabor [J. Math. Anal. Appl. 302 (2005) 196-200], Jab lonska [Bull. Aust. Math. Soc. 87 (2013),
10-17] and Rezaei [Math. Ineq. Appl., 17 (2014), 249-258].
Keywords :
Golab-Schinzel equation , Superstability , Hilbert valued function , Hadamard product
Journal title :
Astroparticle Physics
