Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation

M. Janfada and R. Shourvazi

Abstract and Applied Analysis, 2011, vol. 2011, 1-19

Abstract:

We study general solutions and generalized Hyers-Ulam-Rassias stability of the following 𠑛 -dimensional functional equation ∑ 𠑓 ( 𠑘 𠑖 = 1 𠑥 𠑖 ∑ ) + ( 𠑘 − 2 ) 𠑘 𠑖 = 1 𠑓 ( 𠑥 𠑖 ∑ ) = 𠑘 𠑖 = 1 ∑ 𠑘 𠑗 = 1 , 𠑗 > 𠑖 𠑓 ( 𠑥 𠑖 + 𠑥 𠑗 ) , 𠑘 ≥ 3 , on non-Archimedean normed spaces.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:326951

DOI: 10.1155/2011/326951

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