Generalized Hyers-Ulam-Rassias stability of a pentic functional equation

Abstract

During the last decades, the stability problems of several functional equations have been widely studied. In this thesis we first study the general solution and the generalized Hyers-Ulam-Rassias stability of the quartic functional equation ƒ(3x+y) + ƒ(x+3y) = 64 ƒ(x) + 64 ƒ(y) + 24 ƒ (x+y)-6 ƒ(x-y) and then extend the idea to investigate the general solution and the generalized Hyers-Ulam-Rassias stability of the pentic functional equation ƒ(x+5y) - 5ƒ(x+4y)+10ƒ(x+3y) - 10ƒ(x+2y) + 5ƒ(x+y) - ƒ(x) = 120ƒ(y)