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Abstract and Applied Analysis
Volume 2013, Article ID 198018, 10 pages
Research Article

Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces

1Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
2Department of Mathematics, Hallym University, Chuncheon 200-702, Republic of Korea

Received 19 July 2013; Revised 27 August 2013; Accepted 7 September 2013

Academic Editor: Krzysztof Ciepliński

Copyright © 2013 Abasalt Bodaghi and Sang Og Kim. 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.


We obtain the general solution of the generalized mixed additive and quadratic functional equation , is even; , is odd, for a positive integer . We establish the Hyers-Ulam stability for these functional equations in non-Archimedean normed spaces when is an even positive integer or .