SOLUTION OF THE ULAM STABILITY PROBLEM FOR

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Stability of a Functional Equation Deriving from Cubic and Quartic Functions (2008, unknown): “The oldest cubic functional equation, and was introduced by J. M. Rassias (in 2000-2001): [17-18], as follows: f(x+ 2y) + 3f(x) = 3f(x+ y) + f(x− y) + 6f(y).”
On the stability of Euler–Lagrange type cubic mappings in quasi-Banach spaces (2007, background): “and every solution of the cubic functional equation is said to be a cubic mapping [17].”
ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES (2015, unknown): “Furthermore, by Theorems 1.6 and 1.7, a cubic equation introduced in [24, 26], a cubic equation considered in [15], and a quartic equation given in [23, 25], have hyperstability in the sense of Aoki–Hyers or Rassias when p < 0 (or p 1 + p 2 < 0).”