A new class of cubic and quartic mixed functional equations was presented and its general solution in vector space was obtained.Combined with the definition of difference operator,the generalized Hyers-Ulam-Rassias stability of the mixed functional equation on Banach space was proved by direct method.
关键词
Hyers-Ulam-Rassias稳定性/三次映射/四次映射/混合型泛函方程/Banach空间
Key words
Hyers-Ulam-Rassias stability/cubic mapping/quartic mapping/mixed functional equations/Banach space
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