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 .
"Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces." Abstr. Appl. Anal. 2013 (SI58) 1 - 10, 2013. https://doi.org/10.1155/2013/198018