Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces

被引:75
作者
Gordji, M. Eshaghi [1 ]
Savadkouhi, M. B. [1 ]
机构
[1] Semnan Univ, Dept Math, Semnan, Iran
关键词
Stability; Functional equation; Non-Archimedean normed spaces; HYERS-ULAM STABILITY;
D O I
10.1016/j.aml.2010.05.011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the Hyers-Ulam-Rassias stability of the mixed type cubic-quartic functional equation f (x + 2y) + f (x - 2y) = 4(f (x + y) + f (x - y) - 24f(y) - 6f(x) + 3f (2y) in non-Archimedean normed spaces. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1198 / 1202
页数:5
相关论文
共 20 条
[1]  
[Anonymous], HYERSULAMRASSIAS STA
[2]  
[Anonymous], 2005, B IRAN MATH SOC
[3]  
[Anonymous], 1998, Stability of Functional Equations in Several Variables
[4]  
Chung Jukang K., 2003, [Bulletin of the KMS, 대한수학회보], V40, P565
[5]  
Gajda Z., 1991, Internat. J. Math. Math. Sci., V14, P431, DOI [10.1155/S016117129100056X, DOI 10.1155/S016117129100056X]
[6]   A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].
GAVRUTA, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436
[7]   Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces [J].
Gordji, M. Eshaghi ;
Savadkouhi, M. B. .
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) :1321-1329
[8]   Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces [J].
Gordji, M. Eshaghi ;
Khodaei, H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5629-5643
[9]  
GORDJI ME, ABSTRACT APPL ANAL
[10]  
Grabiec A, 1996, PUBL MATH-DEBRECEN, V48, P217