
arXiv: 0812.5020
We obtain the general solution and the generalized Ulam‐Hyers stability of the cubic and quartic functional equation 4(f(3x + y) + f(3x − y)) = −12(f(x + y) + f(x − y)) + 12(f(2x + y) + f(2x − y)) − 8f(y)−192f(x) + f(2y) + 30f(2x).
Mathematics - Functional Analysis, Functional equations for real functions, cubic functional equation, quartic functional equation, 39B82, 39B52, QA1-939, FOS: Mathematics, Stability, separation, extension, and related topics for functional equations, generalized Ulam-Hyers stability, Mathematics, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Functional equations for real functions, cubic functional equation, quartic functional equation, 39B82, 39B52, QA1-939, FOS: Mathematics, Stability, separation, extension, and related topics for functional equations, generalized Ulam-Hyers stability, Mathematics, Functional Analysis (math.FA)
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