Stability for the functional equation of cubic type

In this article, we establish the stability of the orthogonally cubic type functional equation (1.2) for all x1, x2, x3 with xi⊥xj (i, j = 1, 2, 3), where ⊥ is the orthogonality in the sense of Rätz, and investigate the stability of the n-dimensional cubic type functional equation (1.3), where n 3 is an integer. © 2006 Elsevier Inc. All rights reserved.