Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces

By E. Gordji, M. B. Savadkouhi. 2008

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AbstractWe prove generalized Hyers-Ulam–Rassias stability of the cubic functional equation f(kx+y)+f(kx−y)=k[f(x+y)+f(x−y)]+2(k3−k)f(x) for all $k\in \Bbb{N}$ and the quartic functional equation f(kx+y)+f(kx−y)=k2[f(x+y)+f(x−y)]+2k2(k2−1)f(x)−2(k2−1)f(y) for all $k\in \Bbb{N}$ in non-Archimedean normed spaces.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8b074d425e71b4259d08ca1b389523f59e10ab4f