1 citations · 2 across the 5 of their papers we have counts for
6 papers
On the Operator-valued -cosine functions
Bouikhalene Belaid, Elqorachi Elhoucien
Let be a topological abelian group with a neutral element and let be a continuous character of . Let $(\mathcal{H}, \langle \cdot,\cd…
A class of functional equations on monoids
Bouikhalene Belaid, Elqorachi Elhoucien
In \cite{05} B. Ebanks and H. Stetkær obtained the solutions of the functional equation where is an involutive automorphism and are complex-va…
On the integral functional equations: On the integral d'Alembert's and Wilson's functional equations
Bouikhalene Belaid, Elqorachi Elhoucien
Let be a locally compact group, and let be a compact subgroup of . Let be a character of . In this paper, we deal with…
An extension of Van Vleck's functional equation for the sine
Bouikhalene Belaid, Elqorachi Elhoucien
In \cite{St3} H. Stetkær obtained the solutions of Van Vleck's functional equation for the sine where is a semigroup, is an…
Solutions and stability of a generalization of Wilson's equation
Bouikhalene Belaid, Elqorachi Elhoucien
In this paper we study the solutions and stability of the generalized Wilson's functional equation , where is…
Hyers-Ulam stability of Jensen functional equation on amenable semigroups
Bouikhalene Belaid, Elqorachi Elhoucien
In this paper, we give a proof of the Hyers-Ulam stability of the Jensen functional equation where is an amenable semigroup and…