An AQCQ-functional equation in paranormed spaces

被引：2
作者：
Park, Choonkil [2 ]
Lee, Jung Rye [1 ]
机构：
[1] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea
[2] Hanyang Univ, Res Inst Nat Sci, Seoul 133791, South Korea
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
Hyers-Ulam stability; paranormed space; additive-quadratic-cubic-quartic functional equation; ULAM-RASSIAS STABILITY; MAPPINGS;
D O I：
10.1186/1687-1847-2012-63
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed spaces. Mathematics Subject Classification (2010): Primary 39B82; 39B52; 39B72; 46A99.
引用
收藏
页数：9
相关论文
共 35 条
  • [1] Aczel J., 1989, ENCY MATH APPL, V31
  • [2] [Anonymous], 1984, AEQUATIONES MATH
  • [3] [Anonymous], 1991, Acta Comment. Univ. Tartueneis
  • [4] [Anonymous], 1998, Stability of Functional Equations in Several Variables
  • [5] [Anonymous], 2002, FUNCTIONAL EQUATIONS
  • [6] Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]
  • [7] ON THE STABILITY OF THE QUADRATIC MAPPING IN NORMED SPACES
    CZERWIK, S
    [J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1992, 62 : 59 - 64
  • [8] Stability of an Additive-Cubic-Quartic Functional Equation
    Eshaghi-Gordji, M.
    Kaboli-Gharetapeh, S.
    Park, Choonkil
    Zolfaghari, Somayyeh
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [9] Eshaghi-Gordji M, 2009, J INEQUAL APPL, V2009, P26
  • [10] FAST H., 1951, Colloq. Math., V2, P241
1234