Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces

We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces

Approximately Ternary Homomorphisms and Derivations on C

We investigate the stability and superstability of ternary homomorphisms between C*-ternary algebras and derivations on C*-ternary algebras, associated with the following functional equation f((x2-x1)/3)+f((x1-3x3)/3)+f((3x1+3x3-x2)/3)=f(x1)

Stability of Ternary Cubic Derivations on Ternary Frèchet Algebras

Abstract: In this paper, we prove the generalized Hyers-Ulam-Rassias stability and superstability of ternary cubic derivations on ternary Frèchet algebras

Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces

We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x + 2y) + f(x - 2y) = 4(f(x + y) + f(x - y)) - 24f(y) - 6f(x) + 3f(2y) in quasi-Banach spaces. Copyright (C) 2009 M. Eshaghi Gordji et al