GENERAL QUARTIC-CUBIC-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES

被引：0

作者：

Gordji, M. Eshaghi ^{[1
]}

Khodaei, H. ^{[1
]}

Khodabakhsh, R. ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, Semnan, Iran

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2010年 / 72卷 / 03期

关键词：

Quartic; cubic and quadratic functions; Non-Archimedean spaces; p-adic field; Stability; ULAM-RASSIAS STABILITY; BANACH-SPACES; MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to find the general solution of a mixed type quartic, cubic and quadratic functional equation f(x + ky) + f (x - ky) = k(2)f(x + y) + k(2)f(x - y) + 2(1 - k(2))f(x) + k(2)(k(2) - 1)/6(f(2y) + 2f(-y) - 6f(y)) (k is an element of Z - {0, +/- 1}) in the class of functions between real vector spaces and to obtain the generalized Hyers-Ulam stability problem for the equation in non-Archimedean spaces.

引用

页码：69 / 84

页数：16

共 23 条

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[2]

[Anonymous], 1964, PROBLEMS MODERN MATH

[3]

[Anonymous], 2002, FUNCTIONAL EQUATIONS

[4]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64