ON SOLUTIONS OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION OF PEXIDER TYPE

被引：0
作者：
Janfada, Mohammad [1 ]
Shourvazi, Rahele [2 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran
[2] Hakim Sabzevary Univ, Fac Math & Comp Sci, Sabzevar, Iran
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2012年 / 41卷 / 02期
关键词：
Quadratic functional equation; Pexiderized quadratic functional equation; CAUCHY-RASSIAS STABILITY; BANACH MODULES; ULAM STABILITY; MAPPINGS;
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 general solutions of the following Pexider functional equation (4 - k)f(1) (Sigma(k)(i=1) x(i)) + Sigma(k)(j=2) f(j) ((Sigma(k)(i=1, i not equal j) x(i)) - x(j))) + f(k+1) (- x(1) + Sigma(k)(i=2) x(i)) = 4 Sigma(k)(j=1) f(k+j+1)(x(j)), on a vector space over a field of characteristic different from 2, for k >= 3.
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页码：265 / 270
页数：6
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