Abstract
In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equationf (x + y, z + w) + f (x - y, z - w) = 2 f (x, z) + 2 f (y, w) . The quadratic form f (x, y) = a x2 + b x y + c y2 is a solution of the above functional equation. © 2006 Elsevier Inc. All rights reserved.
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Bae, J. H., & Park, W. G. (2007). A functional equation originating from quadratic forms. Journal of Mathematical Analysis and Applications, 326(2), 1142–1148. https://doi.org/10.1016/j.jmaa.2006.03.023
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