Title of article :
Solutions and stability of a variant of Van Vleck's and d'Alembert's functional equations
Author/Authors :
Rassias, Th.M Department of Mathematics - National Technical University of Athens - Zofrafou Campus - Athens, Greece , Elqorachi, E Ibn Zohr University - Faculty of Sciences Department of Mathematic - Agadir, Morocco , Redouani, A Ibn Zohr University - Faculty of Sciences Department of Mathematic - Agadir, Morocco
Abstract :
In this paper. (1) We determine the complex-valued solutions of the following variant of Van Vleck's
functional equation where S is a topological semigroup, σ is a continuous involutive automorphism of S, and υ is a
complex measure with compact support and which is σ-invariant. (3) We prove the superstability
theorems of the rst functional equation.
Keywords :
d'Alembert's equation , Van Vleck's equation , sine function , multiplicative function , superstability
Journal title :
Astroparticle Physics
