ON A FUNCTIONAL EQUATION ORIGINATING FROM A MIXED ADDITIVE AND CUBIC EQUATION AND ITS STABILITY

被引：0

作者：

Janfada, Mohammad ^{[1
]}

Shateri, Tayebe Laal ^{[2
]}

Shourvarzi, Rahele ^{[3
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran

[2] Hakim Sabzevari Univ, Fac Math & Comp Sci, Sabzevar, Iran

[3] Hakim Sabzevari Univ, Dept Math, Sabzevar, Iran

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2014年 / 43卷 / 01期

关键词：

Hyers-Ulam-Rassias stability; Cubic functional equation; Non-Archimedean normed space; Derivation; GENERALIZED QUADRATIC MAPPINGS; ULAM-RASSIAS STABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study solutions of the 2-variable mixed additive and cubic functional equation f (2x + y, 2z + t) + f (2x - y, 2z - t) = 2f (x + y, z + t) + 2f (x - y, z - t) + 2f (2x, 2z) - 4f (x, z), which has the cubic form f(x, y) = ax(3) + bx(2)y + cxy(2) + dy(3) as a solution. Also the Hyers-Ulam-Rassias stability of this equation in the non-Archimedean Banach spaces is investigated.

引用

页码：27 / 41

页数：15

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