Advances in Difference Equations
Volume 2009 (2009), Article ID 395693, 20 pages
doi:10.1155/2009/395693
Research Article

Stability of an Additive-Cubic-Quartic Functional Equation

M. Eshaghi-Gordji,1 S. Kaboli-Gharetapeh,2 Choonkil Park,3 and Somayyeh Zolfaghari1

1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Payame Nour University of Mashhad, Mashhad, Iran
3Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea

Received 8 September 2009; Accepted 8 December 2009

Academic Editor: Ağacık Zafer

Copyright © 2009 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

In this paper, we consider the additive-cubic-quartic functional equation 11[f(x+2y)+f(x−2y)]=44[f(x+y)+f(x−y)]+12f(3y)−48f(2y)+60f(y)−66f(x) and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces.