On a bi-quadratic functional equation and its stability

By W. Park, J. Bae. 2005

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Stability of a Functional Equation Deriving from Cubic and Quartic Functions (2008, background): “The oldest quartic functional equation, and was introduced by J. M. Rassias(in 1999-2000): [16], [27], and then (in 2005) was employed by Won-Gil Park [15] and others, such that: f(x+ 2y) + f(x− 2y) = 4(f(x+ y) + f(x− y)) + 24f(y) − 6f(x).”
Solution and Stability of the Multiquadratic Functional Equation (2013, background): “Recall from [21] that a mapping f : X × X → Y is called biquadratic if f satisfies the system of equations”