# HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

• Najati, Abbas (DEPARTMENT OF MATHEMATICS UNIVERSITY OF MOHAGHEGH ARDABILI)
• Published : 2007.11.30
• 137 9

#### Abstract

In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for the following cubic functional equation 3f(x+3y)+f(3x-y)=15f(x+y)+15f(x-y)+80f(y). The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias# stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72(1978), 297-300.

#### Keywords

hyers-Ulam-Rassias stability;cubic functional equation

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