期刊
ACTA APPLICANDAE MATHEMATICAE
卷 110, 期 3, 页码 1321-1329出版社
SPRINGER
DOI: 10.1007/s10440-009-9512-7
关键词
Generalized Hyers-Ulam-Rassias stability; Cubic functional equation; Quartic functional equation; Non-Archimedean space; p-adic
资金
- Semnan University
We 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(k(3)-k) f (x) for all k. N and the quartic functional equation f (kx + y)+ f (kx-y) = k(2)[f (x + y)+ f (x-y)]+ 2k(2)(k(2)-1) f (x)-2(k(2)-1) f (y) for all k is an element of N in non-Archimedean normed spaces.
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