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A generalized additive-quartic functional equation and its stability. (English) Zbl 1334.39059

This paper is concerned with a class of generalized additive-quartic functional equations and its stability. Some existence and stability results for this equation are obtained without assuming any regularity on the unknown function \(f: \mathbb R \to \mathbb R\), which generalize and complement some known results.
Reviewer: Qi Wang (Hefei)

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B22 Functional equations for real functions
39B55 Orthogonal additivity and other conditional functional equations
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