ON A FUNCTIONAL EQUATION ORIGINATING FROM A MIXED ADDITIVE AND CUBIC EQUATION AND ITS STABILITY

Authors : Mohammad JANFADA, Tayebe Laal SHATERİ, Rahele SHOURVARZİ

Pages : 27-41

View : 23 | Download : 5

Publication Date : 2014-01-01

Article Type : Other Papers

Abstract :In this paper, we study solutions of the 2-variable mixed additive andcubic functional equationf insert ignore into journalissuearticles values(2x + y, 2z + t); + f insert ignore into journalissuearticles values(2x − y, 2z − t); = 2f insert ignore into journalissuearticles values(x + y, z + t);+ 2f insert ignore into journalissuearticles values(x − y, z − t); + 2f insert ignore into journalissuearticles values(2x, 2z); − 4f insert ignore into journalissuearticles values(x, z);,which has the cubic form f insert ignore into journalissuearticles values(x, y); = ax+ bx y + cxy+ dy as a solution. Also the Hyers–Ulam–Rassias stability of this equation in thenon-Archimedean Banach spaces is investigated.
Keywords : HyersUlamRassias stability, Cubic functional equation, NonArchimedeannormed space, Derivation