STABILITY PROBLEMS DERIVING FROM MIXED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATIONS

被引：0
|
作者：
Kang, Dongseung [1 ]
Koh, Heejeong [1 ]
Cho, In Goo [2 ]
机构：
[1] Dankook Univ, Dept Math Educ, Yongin 448701, Gyeonggi Do, South Korea
[2] Incheon Natl Univ, Fac Liberal Educ, Yeonsu 406772, Incheon, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 01期
关键词：
Shadowing property; Cauchy additive mapping; Quadratic mapping; Normed group; Hyers-Ulam-Rassias Stability; BANACH-SPACES;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let n >= 2 be an integer. We obtain the solution of the following mixed additive and quadratic functional equation (4 - n)r(t) f(Sigma(n)(j=1) x(j)/r) + Sigma(n)(i=1)f (Sigma(n)(j=1) (-1)(delta ij) x(j)/r) = 2(t)Sigma(n)(i=1) f(x(i)), where t is an element of {1, 2}, r is an element of R (r not equal n/2, 2 and r(2) not equal n) and the function delta is a Kronecker delta, and we prove the stability in normed group by using shadowing property and the Hyers-Ulam-Rassias stability in Banach spaces.
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页码：87 / 98
页数：12
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