Abstract and Applied Analysis
Volume 2008 (2008), Article ID 801904, 17 pages
doi:10.1155/2008/801904
Research Article

Stability of a Functional Equation Deriving from Cubic and Quartic Functions

M. Eshaghi Gordji,1 A. Ebadian,2 and S. Zolfaghari1

1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Urmia University, P.O. Box 57153-165, Urmia, Iran

Received 11 September 2008; Revised 29 October 2008; Accepted 21 November 2008

Academic Editor: John Rassias

Copyright © 2008 M. Eshaghi Gordji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation 4(f(3x+y)+f(3x−y))=−12(f(x+y)+f(x−y))+12(f(2x+y)+f(2x−y))−8f(y)−192f(x)+f(2y)+30f(2x).